Least Common Multiple of 715/21, 927/63, 370/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 715/21, 927/63, 370/638 quickly i.e. 49047570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/21, 927/63, 370/638 is 49047570.

LCM(715/21, 927/63, 370/638) = 49047570

LCM of 715/21, 927/63, 370/638

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 715/21,927/63,370/638

Given numbers are 715/21,927/63,370/638

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 715,927,370

Least Common Multiple of Numerators i.e. LCM of 715,927,370 is 49047570.

GCF of Denominators means GCF of 21,63,638 as per the given fractions.

GCF of 21,63,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,927,370

LCM of Fractions 715/21,927/63,370/638 is 49047570

5 715, 927, 370
143, 927, 74

∴ So the LCM of the given numbers is 5 x 143 x 927 x 74 = 49047570

Least Common Multiple of 715,927,370 with GCF Formula

Least Common Multiple of 715,927,370 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 715,927,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,927,370) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(715,927,370) x common factors =1 x 5 = 5

LCM(715,927,370) = ( 715 × 927 × 370 ) / 5

LCM(715,927,370) = 245237850 / 5

LCM(715,927,370) = 49047570


Lets's calculate GCF of 21,63,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49047570/1

Therefore the LCM of Fractions 715/21,927/63,370/638 is 49047570

Greatest Common Factor of 21,63,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,63,638 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 21,63,638 . The biggest common factor number is the GCF number.
So the greatest common factor 21,63,638 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 715/21, 927/63, 370/638

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 715/21, 927/63, 370/638?

Answer: LCM of Numerators as per given numbers 715/21, 927/63, 370/638 is

LCM of Numerators i.e. for 715,927,370 is 49047570

GCF of denominators i.e. for 21,63,638 is 1.

Thus, LCM of Fractions is 49047570.Finally, LCM of Fractions for 715/21, 927/63, 370/638 is 49047570.