Least Common Multiple of 537/63, 349/51, 400/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/63, 349/51, 400/679 quickly i.e. 74965200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/63, 349/51, 400/679 is 74965200.

LCM(537/63, 349/51, 400/679) = 74965200

LCM of 537/63, 349/51, 400/679

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 537/63,349/51,400/679

Given numbers are 537/63,349/51,400/679

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 537,349,400

Least Common Multiple of Numerators i.e. LCM of 537,349,400 is 74965200.

GCF of Denominators means GCF of 63,51,679 as per the given fractions.

GCF of 63,51,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,349,400

LCM of Fractions 537/63,349/51,400/679 is 74965200

Given numbers has no common factors except 1. So, there LCM is their product i.e 74965200

Least Common Multiple of 537,349,400 with GCF Formula

Least Common Multiple of 537,349,400 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 537,349,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,349,400) = 1

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

GCF(537,349,400) x common factors =1 x 1 = 1

LCM(537,349,400) = ( 537 × 349 × 400 ) / 1

LCM(537,349,400) = 74965200 / 1

LCM(537,349,400) = 74965200


Lets's calculate GCF of 63,51,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74965200/1

Therefore the LCM of Fractions 537/63,349/51,400/679 is 74965200

Greatest Common Factor of 63,51,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,51,679 By Matching Biggest Common Factor Method

Factors of 63

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

1,3,7,9,21,63

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 63,51,679 . The biggest common factor number is the GCF number.
So the greatest common factor 63,51,679 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 537/63, 349/51, 400/679

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 537/63, 349/51, 400/679?

Answer: LCM of Numerators as per given numbers 537/63, 349/51, 400/679 is

LCM of Numerators i.e. for 537,349,400 is 74965200

GCF of denominators i.e. for 63,51,679 is 1.

Thus, LCM of Fractions is 74965200.Finally, LCM of Fractions for 537/63, 349/51, 400/679 is 74965200.