Least Common Multiple of 58/316, 156/709, 871/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/316, 156/709, 871/262 quickly i.e. 303108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/316, 156/709, 871/262 is 303108.

LCM(58/316, 156/709, 871/262) = 303108

LCM of 58/316, 156/709, 871/262

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 58/316,156/709,871/262

Given numbers are 58/316,156/709,871/262

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 58,156,871

Least Common Multiple of Numerators i.e. LCM of 58,156,871 is 303108.

GCF of Denominators means GCF of 316,709,262 as per the given fractions.

GCF of 316,709,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,156,871

LCM of Fractions 58/316,156/709,871/262 is 303108

2 58, 156, 871
13 29, 78, 871
29, 6, 67

∴ So the LCM of the given numbers is 2 x 13 x 29 x 6 x 67 = 303108

Least Common Multiple of 58,156,871 with GCF Formula

Least Common Multiple of 58,156,871 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 58,156,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,156,871) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(58,156,871) x common factors =1 x 26 = 26

LCM(58,156,871) = ( 58 × 156 × 871 ) / 26

LCM(58,156,871) = 7880808 / 26

LCM(58,156,871) = 303108


Lets's calculate GCF of 316,709,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303108/1

Therefore the LCM of Fractions 58/316,156/709,871/262 is 303108

Greatest Common Factor of 316,709,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,709,262 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 316,709,262 . The biggest common factor number is the GCF number.
So the greatest common factor 316,709,262 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 58/316, 156/709, 871/262

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 58/316, 156/709, 871/262?

Answer: LCM of Numerators as per given numbers 58/316, 156/709, 871/262 is

LCM of Numerators i.e. for 58,156,871 is 303108

GCF of denominators i.e. for 316,709,262 is 1.

Thus, LCM of Fractions is 303108.Finally, LCM of Fractions for 58/316, 156/709, 871/262 is 303108.