Least Common Multiple of 29/76, 53/777, 675/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/76, 53/777, 675/546 quickly i.e. 1037475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/76, 53/777, 675/546 is 1037475.

LCM(29/76, 53/777, 675/546) = 1037475

LCM of 29/76, 53/777, 675/546

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 29/76,53/777,675/546

Given numbers are 29/76,53/777,675/546

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 29,53,675

Least Common Multiple of Numerators i.e. LCM of 29,53,675 is 1037475.

GCF of Denominators means GCF of 76,777,546 as per the given fractions.

GCF of 76,777,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,53,675

LCM of Fractions 29/76,53/777,675/546 is 1037475

Given numbers has no common factors except 1. So, there LCM is their product i.e 1037475

Least Common Multiple of 29,53,675 with GCF Formula

Least Common Multiple of 29,53,675 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 29,53,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,53,675) = 1

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

GCF(29,53,675) x common factors =1 x 1 = 1

LCM(29,53,675) = ( 29 × 53 × 675 ) / 1

LCM(29,53,675) = 1037475 / 1

LCM(29,53,675) = 1037475


Lets's calculate GCF of 76,777,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1037475/1

Therefore the LCM of Fractions 29/76,53/777,675/546 is 1037475

Greatest Common Factor of 76,777,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,777,546 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 76,777,546 . The biggest common factor number is the GCF number.
So the greatest common factor 76,777,546 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 29/76, 53/777, 675/546

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 29/76, 53/777, 675/546?

Answer: LCM of Numerators as per given numbers 29/76, 53/777, 675/546 is

LCM of Numerators i.e. for 29,53,675 is 1037475

GCF of denominators i.e. for 76,777,546 is 1.

Thus, LCM of Fractions is 1037475.Finally, LCM of Fractions for 29/76, 53/777, 675/546 is 1037475.