Least Common Multiple of 74/854, 731/94, 829/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/854, 731/94, 829/924 quickly i.e. 22421963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/854, 731/94, 829/924 is 22421963.

LCM(74/854, 731/94, 829/924) = 22421963

LCM of 74/854, 731/94, 829/924

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 74/854,731/94,829/924

Given numbers are 74/854,731/94,829/924

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 74,731,829

Least Common Multiple of Numerators i.e. LCM of 74,731,829 is 44843926.

GCF of Denominators means GCF of 854,94,924 as per the given fractions.

GCF of 854,94,924 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,731,829

LCM of Fractions 74/854,731/94,829/924 is 22421963

Given numbers has no common factors except 1. So, there LCM is their product i.e 44843926

Least Common Multiple of 74,731,829 with GCF Formula

Least Common Multiple of 74,731,829 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 74,731,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,731,829) = 1

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

GCF(74,731,829) x common factors =1 x 1 = 1

LCM(74,731,829) = ( 74 × 731 × 829 ) / 1

LCM(74,731,829) = 44843926 / 1

LCM(74,731,829) = 44843926


Lets's calculate GCF of 854,94,924

2 854, 94, 924
427, 47, 462

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44843926/2

Therefore the LCM of Fractions 74/854,731/94,829/924 is 22421963

Greatest Common Factor of 854,94,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,94,924 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 854,94,924 . The biggest common factor number is the GCF number.
So the greatest common factor 854,94,924 is 2.


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 74/854, 731/94, 829/924

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 74/854, 731/94, 829/924?

Answer: LCM of Numerators as per given numbers 74/854, 731/94, 829/924 is

LCM of Numerators i.e. for 74,731,829 is 44843926

GCF of denominators i.e. for 854,94,924 is 2.

Thus, LCM of Fractions is 22421963.Finally, LCM of Fractions for 74/854, 731/94, 829/924 is 22421963.