Least Common Multiple of 29/109, 88/741, 762/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/109, 88/741, 762/910 quickly i.e. 972312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/109, 88/741, 762/910 is 972312.

LCM(29/109, 88/741, 762/910) = 972312

LCM of 29/109, 88/741, 762/910

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 29/109,88/741,762/910

Given numbers are 29/109,88/741,762/910

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 29,88,762

Least Common Multiple of Numerators i.e. LCM of 29,88,762 is 972312.

GCF of Denominators means GCF of 109,741,910 as per the given fractions.

GCF of 109,741,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,88,762

LCM of Fractions 29/109,88/741,762/910 is 972312

2 29, 88, 762
29, 44, 381

∴ So the LCM of the given numbers is 2 x 29 x 44 x 381 = 972312

Least Common Multiple of 29,88,762 with GCF Formula

Least Common Multiple of 29,88,762 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 29,88,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,88,762) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(29,88,762) x common factors =1 x 2 = 2

LCM(29,88,762) = ( 29 × 88 × 762 ) / 2

LCM(29,88,762) = 1944624 / 2

LCM(29,88,762) = 972312


Lets's calculate GCF of 109,741,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972312/1

Therefore the LCM of Fractions 29/109,88/741,762/910 is 972312

Greatest Common Factor of 109,741,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,741,910 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 109,741,910 . The biggest common factor number is the GCF number.
So the greatest common factor 109,741,910 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 29/109, 88/741, 762/910

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 29/109, 88/741, 762/910?

Answer: LCM of Numerators as per given numbers 29/109, 88/741, 762/910 is

LCM of Numerators i.e. for 29,88,762 is 972312

GCF of denominators i.e. for 109,741,910 is 1.

Thus, LCM of Fractions is 972312.Finally, LCM of Fractions for 29/109, 88/741, 762/910 is 972312.