Least Common Multiple of 972/37, 8148/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/37, 8148/351 quickly i.e. 659988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/37, 8148/351 is 659988.

LCM(972/37, 8148/351) = 659988

LCM of 972/37, 8148/351

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 972/37,8148/351

Given numbers are 972/37,8148/351

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 972,8148

Least Common Multiple of Numerators i.e. LCM of 972,8148 is 659988.

GCF of Denominators means GCF of 37,351 as per the given fractions.

GCF of 37,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,8148

LCM of Fractions 972/37,8148/351 is 659988

2 972, 8148
2 486, 4074
3 243, 2037
81, 679

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 679 = 659988

Least Common Multiple of 972,8148 with GCF Formula

Least Common Multiple of 972,8148 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 972,8148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,8148) = 12

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

GCF(972,8148) x common factors =12 x 1 = 12

LCM(972,8148) = ( 972 × 8148 ) / 12

LCM(972,8148) = 7919856 / 12

LCM(972,8148) = 659988


Lets's calculate GCF of 37,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659988/1

Therefore the LCM of Fractions 972/37,8148/351 is 659988

Greatest Common Factor of 37,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,351 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 37,351 . The biggest common factor number is the GCF number.
So the greatest common factor 37,351 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 972/37, 8148/351

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 972/37, 8148/351?

Answer: LCM of Numerators as per given numbers 972/37, 8148/351 is

LCM of Numerators i.e. for 972,8148 is 659988

GCF of denominators i.e. for 37,351 is 1.

Thus, LCM of Fractions is 659988.Finally, LCM of Fractions for 972/37, 8148/351 is 659988.