The LCM of 120 and 200 is 600. Show Steps to find LCM
MathStep (Works offline)  Android and iPhone/ iPad Find least common multiple (LCM) of: 240 & 400 60 & 100 360 & 600 600 & 1000 24 & 40 840 & 1400 240 & 200 120 & 400 360 & 200 120 & 600 600 & 200 120 & 1000 840 & 200 120 & 1400 Enter two numbers separate by comma. To find least common multiple (LCM) of more than two numbers, click here.
15 Questions 15 Marks 15 Mins
Concept HCF : The greatest common divisor of two or more positive integers happens to be the largest positive integer that divides the numbers without leaving a remainder. Co-prime : Two numbers are co-prime if they no common factor other than 1. Formula used Product of numbers = LCM × HCF Calculation HCF = 10 So, let the two numbers be 10a and 10b, where 'a' and 'b' are co-primes ⇒ 10a × 10b = LCM × HCF ⇒ 100 ab = 1200 ⇒ ab = 12 Therefore, possible pairs of a and b could be (3,4) So, the numbers are (30, 40) India’s #1 Learning Platform Start Complete Exam Preparation
Daily Live MasterClasses
Practice Question Bank
Mock Tests & Quizzes Trusted by 3.3 Crore+ Students LCM of 120 and 150 is 600. LCM denotes the smallest positive number that is a multiple of two or more numbers. The article LCM with Examples will explain the concept in a comprehensive manner so that students obtain good marks in examinations. This article acts as a tool for students to learn and revise the concepts in a better way. Let us learn how to determine the least common multiple of 120 and 150 with a complete explanation here. What is LCM of 120 and 150?The Least Common Multiple of 120 and 150 is 600. How to Find LCM of 120 and 150?LCM of 120 and 150 can be determined using three methods:
LCM of 120 and 150 Using Prime Factorisation MethodIn the prime factorisation method, LCM of 120 and 150 can be obtained by multiplying prime factors raised to their respective highest power. 120 = 2 × 2 × 2 × 3 × 5 150 = 2 × 3 × 5 × 5 LCM (120, 150) = 2 × 2 × 2 × 3 × 5 × 5 = 600 LCM of 120 and 150 Using Division MethodIn the division method, to find the LCM, we divide the numbers 120 and 150 by their prime factors until we get the result as one in the complete row. The product of these divisors shows the least common multiple of 120 and 150.
No further division can be done. Hence, LCM (120, 150) = 2 × 2 × 2 × 3 × 5 × 5 = 600 LCM of 120 and 150 Using Listing the MultiplesIn this method, we list down the multiples of given natural numbers to find the least common multiple among them. Let us have a look at the multiples of 120 and 150 from the table given below.
LCM (120, 150) = 600 Related ArticlesVideo Lesson on Applications of LCMSolved Examples1. What is the smallest number that is divisible by both 120 and 150? Solution: 600 is the smallest number that is divisible by both 120 and 150. 2. The GCD and LCM of the two numbers are 30 and 600. If one number is 150, what is the other number? Solution: Let the other number be z We know that, GCD × LCM = 150 × z z = (GCD × LCM) / 150 z = (30 × 600) / 150 z = 120 Thus the other number is 120. The LCM of 120 and 150 is 600. No. The LCM of 120 and 150 is 600 and the HCF of 120 and 150 is 30.
The methods used to find the least common multiple of 120 and 150 are Prime Factorisation Division method Listing the Multiples
GCF × LCM = 120 × 150 Given LCM = 600 GCF × 600 = 120 × 150 GCF = 30
Here, we write the numbers as the product of prime factors to find the LCM 120 = 2 × 2 × 2 × 3 × 5 150 = 2 × 3 × 5 × 5 LCM (120, 150) = 2 × 2 × 2 × 3 × 5 × 5 = 600 |
What is the HCF and LCM of 120?
Pos Terkait
Copyright © 2024 menakung Inc.
