Least Common Multiple of 29/877, 11/506, 731/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/877, 11/506, 731/748 quickly i.e. 233189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/877, 11/506, 731/748 is 233189.

LCM(29/877, 11/506, 731/748) = 233189

LCM of 29/877, 11/506, 731/748

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 29/877,11/506,731/748

Given numbers are 29/877,11/506,731/748

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 29,11,731

Least Common Multiple of Numerators i.e. LCM of 29,11,731 is 233189.

GCF of Denominators means GCF of 877,506,748 as per the given fractions.

GCF of 877,506,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,11,731

LCM of Fractions 29/877,11/506,731/748 is 233189

Given numbers has no common factors except 1. So, there LCM is their product i.e 233189

Least Common Multiple of 29,11,731 with GCF Formula

Least Common Multiple of 29,11,731 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 29,11,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,11,731) = 1

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

GCF(29,11,731) x common factors =1 x 1 = 1

LCM(29,11,731) = ( 29 × 11 × 731 ) / 1

LCM(29,11,731) = 233189 / 1

LCM(29,11,731) = 233189


Lets's calculate GCF of 877,506,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233189/1

Therefore the LCM of Fractions 29/877,11/506,731/748 is 233189

Greatest Common Factor of 877,506,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,506,748 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 877,506,748 . The biggest common factor number is the GCF number.
So the greatest common factor 877,506,748 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 29/877, 11/506, 731/748

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 29/877, 11/506, 731/748?

Answer: LCM of Numerators as per given numbers 29/877, 11/506, 731/748 is

LCM of Numerators i.e. for 29,11,731 is 233189

GCF of denominators i.e. for 877,506,748 is 1.

Thus, LCM of Fractions is 233189.Finally, LCM of Fractions for 29/877, 11/506, 731/748 is 233189.