Least Common Multiple of 51/37, 564/49, 468/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/37, 564/49, 468/683 quickly i.e. 373932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/37, 564/49, 468/683 is 373932.

LCM(51/37, 564/49, 468/683) = 373932

LCM of 51/37, 564/49, 468/683

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 51/37,564/49,468/683

Given numbers are 51/37,564/49,468/683

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 51,564,468

Least Common Multiple of Numerators i.e. LCM of 51,564,468 is 373932.

GCF of Denominators means GCF of 37,49,683 as per the given fractions.

GCF of 37,49,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,564,468

LCM of Fractions 51/37,564/49,468/683 is 373932

2 51, 564, 468
2 51, 282, 234
3 51, 141, 117
17, 47, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 47 x 39 = 373932

Least Common Multiple of 51,564,468 with GCF Formula

Least Common Multiple of 51,564,468 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 51,564,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,564,468) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(51,564,468) x common factors =3 x 12 = 36

LCM(51,564,468) = ( 51 × 564 × 468 ) / 36

LCM(51,564,468) = 13461552 / 36

LCM(51,564,468) = 373932


Lets's calculate GCF of 37,49,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373932/1

Therefore the LCM of Fractions 51/37,564/49,468/683 is 373932

Greatest Common Factor of 37,49,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,49,683 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 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 37,49,683 . The biggest common factor number is the GCF number.
So the greatest common factor 37,49,683 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 51/37, 564/49, 468/683

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 51/37, 564/49, 468/683?

Answer: LCM of Numerators as per given numbers 51/37, 564/49, 468/683 is

LCM of Numerators i.e. for 51,564,468 is 373932

GCF of denominators i.e. for 37,49,683 is 1.

Thus, LCM of Fractions is 373932.Finally, LCM of Fractions for 51/37, 564/49, 468/683 is 373932.