Least Common Multiple of 58/747, 86/854, 916/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/747, 86/854, 916/992 quickly i.e. 1142252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/747, 86/854, 916/992 is 1142252.

LCM(58/747, 86/854, 916/992) = 1142252

LCM of 58/747, 86/854, 916/992

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 58/747,86/854,916/992

Given numbers are 58/747,86/854,916/992

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 58,86,916

Least Common Multiple of Numerators i.e. LCM of 58,86,916 is 1142252.

GCF of Denominators means GCF of 747,854,992 as per the given fractions.

GCF of 747,854,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,86,916

LCM of Fractions 58/747,86/854,916/992 is 1142252

2 58, 86, 916
29, 43, 458

∴ So the LCM of the given numbers is 2 x 29 x 43 x 458 = 1142252

Least Common Multiple of 58,86,916 with GCF Formula

Least Common Multiple of 58,86,916 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 58,86,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,86,916) = 2

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

GCF(58,86,916) x common factors =2 x 2 = 4

LCM(58,86,916) = ( 58 × 86 × 916 ) / 4

LCM(58,86,916) = 4569008 / 4

LCM(58,86,916) = 1142252


Lets's calculate GCF of 747,854,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142252/1

Therefore the LCM of Fractions 58/747,86/854,916/992 is 1142252

Greatest Common Factor of 747,854,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,854,992 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

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 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 747,854,992 . The biggest common factor number is the GCF number.
So the greatest common factor 747,854,992 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 58/747, 86/854, 916/992

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 58/747, 86/854, 916/992?

Answer: LCM of Numerators as per given numbers 58/747, 86/854, 916/992 is

LCM of Numerators i.e. for 58,86,916 is 1142252

GCF of denominators i.e. for 747,854,992 is 1.

Thus, LCM of Fractions is 1142252.Finally, LCM of Fractions for 58/747, 86/854, 916/992 is 1142252.