Least Common Multiple of 29/757, 78/796, 676/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/757, 78/796, 676/288 quickly i.e. 58812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/757, 78/796, 676/288 is 58812.

LCM(29/757, 78/796, 676/288) = 58812

LCM of 29/757, 78/796, 676/288

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 29/757,78/796,676/288

Given numbers are 29/757,78/796,676/288

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 29,78,676

Least Common Multiple of Numerators i.e. LCM of 29,78,676 is 58812.

GCF of Denominators means GCF of 757,796,288 as per the given fractions.

GCF of 757,796,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,78,676

LCM of Fractions 29/757,78/796,676/288 is 58812

2 29, 78, 676
13 29, 39, 338
29, 3, 26

∴ So the LCM of the given numbers is 2 x 13 x 29 x 3 x 26 = 58812

Least Common Multiple of 29,78,676 with GCF Formula

Least Common Multiple of 29,78,676 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 29,78,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,78,676) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(29,78,676) x common factors =1 x 26 = 26

LCM(29,78,676) = ( 29 × 78 × 676 ) / 26

LCM(29,78,676) = 1529112 / 26

LCM(29,78,676) = 58812


Lets's calculate GCF of 757,796,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58812/1

Therefore the LCM of Fractions 29/757,78/796,676/288 is 58812

Greatest Common Factor of 757,796,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,796,288 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 757,796,288 . The biggest common factor number is the GCF number.
So the greatest common factor 757,796,288 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 29/757, 78/796, 676/288

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 29/757, 78/796, 676/288?

Answer: LCM of Numerators as per given numbers 29/757, 78/796, 676/288 is

LCM of Numerators i.e. for 29,78,676 is 58812

GCF of denominators i.e. for 757,796,288 is 1.

Thus, LCM of Fractions is 58812.Finally, LCM of Fractions for 29/757, 78/796, 676/288 is 58812.