Least Common Multiple of 10/861, 79/592, 762/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/861, 79/592, 762/158 quickly i.e. 300990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/861, 79/592, 762/158 is 300990.

LCM(10/861, 79/592, 762/158) = 300990

LCM of 10/861, 79/592, 762/158

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 10/861,79/592,762/158

Given numbers are 10/861,79/592,762/158

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 10,79,762

Least Common Multiple of Numerators i.e. LCM of 10,79,762 is 300990.

GCF of Denominators means GCF of 861,592,158 as per the given fractions.

GCF of 861,592,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,79,762

LCM of Fractions 10/861,79/592,762/158 is 300990

2 10, 79, 762
5, 79, 381

∴ So the LCM of the given numbers is 2 x 5 x 79 x 381 = 300990

Least Common Multiple of 10,79,762 with GCF Formula

Least Common Multiple of 10,79,762 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 10,79,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,79,762) = 1

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

GCF(10,79,762) x common factors =1 x 2 = 2

LCM(10,79,762) = ( 10 × 79 × 762 ) / 2

LCM(10,79,762) = 601980 / 2

LCM(10,79,762) = 300990


Lets's calculate GCF of 861,592,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300990/1

Therefore the LCM of Fractions 10/861,79/592,762/158 is 300990

Greatest Common Factor of 861,592,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,592,158 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 861,592,158 . The biggest common factor number is the GCF number.
So the greatest common factor 861,592,158 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 10/861, 79/592, 762/158

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 10/861, 79/592, 762/158?

Answer: LCM of Numerators as per given numbers 10/861, 79/592, 762/158 is

LCM of Numerators i.e. for 10,79,762 is 300990

GCF of denominators i.e. for 861,592,158 is 1.

Thus, LCM of Fractions is 300990.Finally, LCM of Fractions for 10/861, 79/592, 762/158 is 300990.