Least Common Multiple of 74/876, 961/53, 730/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/876, 961/53, 730/748 quickly i.e. 25956610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/876, 961/53, 730/748 is 25956610.

LCM(74/876, 961/53, 730/748) = 25956610

LCM of 74/876, 961/53, 730/748

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 74/876,961/53,730/748

Given numbers are 74/876,961/53,730/748

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 74,961,730

Least Common Multiple of Numerators i.e. LCM of 74,961,730 is 25956610.

GCF of Denominators means GCF of 876,53,748 as per the given fractions.

GCF of 876,53,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,961,730

LCM of Fractions 74/876,961/53,730/748 is 25956610

2 74, 961, 730
37, 961, 365

∴ So the LCM of the given numbers is 2 x 37 x 961 x 365 = 25956610

Least Common Multiple of 74,961,730 with GCF Formula

Least Common Multiple of 74,961,730 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 74,961,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,961,730) = 1

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

GCF(74,961,730) x common factors =1 x 2 = 2

LCM(74,961,730) = ( 74 × 961 × 730 ) / 2

LCM(74,961,730) = 51913220 / 2

LCM(74,961,730) = 25956610


Lets's calculate GCF of 876,53,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25956610/1

Therefore the LCM of Fractions 74/876,961/53,730/748 is 25956610

Greatest Common Factor of 876,53,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,53,748 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

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 876,53,748 . The biggest common factor number is the GCF number.
So the greatest common factor 876,53,748 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 74/876, 961/53, 730/748

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 74/876, 961/53, 730/748?

Answer: LCM of Numerators as per given numbers 74/876, 961/53, 730/748 is

LCM of Numerators i.e. for 74,961,730 is 25956610

GCF of denominators i.e. for 876,53,748 is 1.

Thus, LCM of Fractions is 25956610.Finally, LCM of Fractions for 74/876, 961/53, 730/748 is 25956610.