Least Common Multiple of 12/142, 61/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/142, 61/527 quickly i.e. 732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/142, 61/527 is 732.

LCM(12/142, 61/527) = 732

LCM of 12/142, 61/527

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 12/142,61/527

Given numbers are 12/142,61/527

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 12,61

Least Common Multiple of Numerators i.e. LCM of 12,61 is 732.

GCF of Denominators means GCF of 142,527 as per the given fractions.

GCF of 142,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,61

LCM of Fractions 12/142,61/527 is 732

Given numbers has no common factors except 1. So, there LCM is their product i.e 732

Least Common Multiple of 12,61 with GCF Formula

Least Common Multiple of 12,61 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 12,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,61) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(12,61) x common factors =1 x 1 = 1

LCM(12,61) = ( 12 × 61 ) / 1

LCM(12,61) = 732 / 1

LCM(12,61) = 732


Lets's calculate GCF of 142,527

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732/1

Therefore the LCM of Fractions 12/142,61/527 is 732

Greatest Common Factor of 142,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,527 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 142,527 . The biggest common factor number is the GCF number.
So the greatest common factor 142,527 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 12/142, 61/527

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 12/142, 61/527?

Answer: LCM of Numerators as per given numbers 12/142, 61/527 is

LCM of Numerators i.e. for 12,61 is 732

GCF of denominators i.e. for 142,527 is 1.

Thus, LCM of Fractions is 732.Finally, LCM of Fractions for 12/142, 61/527 is 732.