Least Common Multiple of 4986/634, 6750/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4986/634, 6750/937 quickly i.e. 1869750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4986/634, 6750/937 is 1869750.

LCM(4986/634, 6750/937) = 1869750

LCM of 4986/634, 6750/937

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 4986/634,6750/937

Given numbers are 4986/634,6750/937

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 4986,6750

Least Common Multiple of Numerators i.e. LCM of 4986,6750 is 1869750.

GCF of Denominators means GCF of 634,937 as per the given fractions.

GCF of 634,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4986,6750

LCM of Fractions 4986/634,6750/937 is 1869750

2 4986, 6750
3 2493, 3375
3 831, 1125
277, 375

∴ So the LCM of the given numbers is 2 x 3 x 3 x 277 x 375 = 1869750

Least Common Multiple of 4986,6750 with GCF Formula

Least Common Multiple of 4986,6750 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 4986,6750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4986,6750) = 18

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

GCF(4986,6750) x common factors =18 x 1 = 18

LCM(4986,6750) = ( 4986 × 6750 ) / 18

LCM(4986,6750) = 33655500 / 18

LCM(4986,6750) = 1869750


Lets's calculate GCF of 634,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1869750/1

Therefore the LCM of Fractions 4986/634,6750/937 is 1869750

Greatest Common Factor of 634,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,937 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 634,937 . The biggest common factor number is the GCF number.
So the greatest common factor 634,937 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4986/634, 6750/937

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 4986/634, 6750/937?

Answer: LCM of Numerators as per given numbers 4986/634, 6750/937 is

LCM of Numerators i.e. for 4986,6750 is 1869750

GCF of denominators i.e. for 634,937 is 1.

Thus, LCM of Fractions is 1869750.Finally, LCM of Fractions for 4986/634, 6750/937 is 1869750.