Least Common Multiple of 762/891, 308/956, 870/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/891, 308/956, 870/956 quickly i.e. 17015460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/891, 308/956, 870/956 is 17015460.

LCM(762/891, 308/956, 870/956) = 17015460

LCM of 762/891, 308/956, 870/956

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 762/891,308/956,870/956

Given numbers are 762/891,308/956,870/956

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 762,308,870

Least Common Multiple of Numerators i.e. LCM of 762,308,870 is 17015460.

GCF of Denominators means GCF of 891,956,956 as per the given fractions.

GCF of 891,956,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,308,870

LCM of Fractions 762/891,308/956,870/956 is 17015460

2 762, 308, 870
3 381, 154, 435
127, 154, 145

∴ So the LCM of the given numbers is 2 x 3 x 127 x 154 x 145 = 17015460

Least Common Multiple of 762,308,870 with GCF Formula

Least Common Multiple of 762,308,870 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 762,308,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,308,870) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(762,308,870) x common factors =2 x 6 = 12

LCM(762,308,870) = ( 762 × 308 × 870 ) / 12

LCM(762,308,870) = 204185520 / 12

LCM(762,308,870) = 17015460


Lets's calculate GCF of 891,956,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17015460/1

Therefore the LCM of Fractions 762/891,308/956,870/956 is 17015460

Greatest Common Factor of 891,956,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,956,956 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 891,956,956 . The biggest common factor number is the GCF number.
So the greatest common factor 891,956,956 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 762/891, 308/956, 870/956

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 762/891, 308/956, 870/956?

Answer: LCM of Numerators as per given numbers 762/891, 308/956, 870/956 is

LCM of Numerators i.e. for 762,308,870 is 17015460

GCF of denominators i.e. for 891,956,956 is 1.

Thus, LCM of Fractions is 17015460.Finally, LCM of Fractions for 762/891, 308/956, 870/956 is 17015460.