Least Common Multiple of 916/146, 5058/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/146, 5058/872 quickly i.e. 1158282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/146, 5058/872 is 1158282.

LCM(916/146, 5058/872) = 1158282

LCM of 916/146, 5058/872

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 916/146,5058/872

Given numbers are 916/146,5058/872

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 916,5058

Least Common Multiple of Numerators i.e. LCM of 916,5058 is 2316564.

GCF of Denominators means GCF of 146,872 as per the given fractions.

GCF of 146,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,5058

LCM of Fractions 916/146,5058/872 is 1158282

2 916, 5058
458, 2529

∴ So the LCM of the given numbers is 2 x 458 x 2529 = 2316564

Least Common Multiple of 916,5058 with GCF Formula

Least Common Multiple of 916,5058 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 916,5058 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,5058) = 2

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

GCF(916,5058) x common factors =2 x 1 = 2

LCM(916,5058) = ( 916 × 5058 ) / 2

LCM(916,5058) = 4633128 / 2

LCM(916,5058) = 2316564


Lets's calculate GCF of 146,872

2 146, 872
73, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2316564/2

Therefore the LCM of Fractions 916/146,5058/872 is 1158282

Greatest Common Factor of 146,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,872 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 146,872 . The biggest common factor number is the GCF number.
So the greatest common factor 146,872 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 916/146, 5058/872

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 916/146, 5058/872?

Answer: LCM of Numerators as per given numbers 916/146, 5058/872 is

LCM of Numerators i.e. for 916,5058 is 2316564

GCF of denominators i.e. for 146,872 is 2.

Thus, LCM of Fractions is 1158282.Finally, LCM of Fractions for 916/146, 5058/872 is 1158282.