Least Common Multiple of 8/722, 78/308, 31/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/722, 78/308, 31/870 quickly i.e. 4836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/722, 78/308, 31/870 is 4836.

LCM(8/722, 78/308, 31/870) = 4836

LCM of 8/722, 78/308, 31/870

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 8/722,78/308,31/870

Given numbers are 8/722,78/308,31/870

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 8,78,31

Least Common Multiple of Numerators i.e. LCM of 8,78,31 is 9672.

GCF of Denominators means GCF of 722,308,870 as per the given fractions.

GCF of 722,308,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,78,31

LCM of Fractions 8/722,78/308,31/870 is 4836

2 8, 78, 31
4, 39, 31

∴ So the LCM of the given numbers is 2 x 4 x 39 x 31 = 9672

Least Common Multiple of 8,78,31 with GCF Formula

Least Common Multiple of 8,78,31 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 8,78,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,78,31) = 1

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

GCF(8,78,31) x common factors =1 x 2 = 2

LCM(8,78,31) = ( 8 × 78 × 31 ) / 2

LCM(8,78,31) = 19344 / 2

LCM(8,78,31) = 9672


Lets's calculate GCF of 722,308,870

2 722, 308, 870
361, 154, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9672/2

Therefore the LCM of Fractions 8/722,78/308,31/870 is 4836

Greatest Common Factor of 722,308,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,308,870 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 722,308,870 . The biggest common factor number is the GCF number.
So the greatest common factor 722,308,870 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 8/722, 78/308, 31/870

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 8/722, 78/308, 31/870?

Answer: LCM of Numerators as per given numbers 8/722, 78/308, 31/870 is

LCM of Numerators i.e. for 8,78,31 is 9672

GCF of denominators i.e. for 722,308,870 is 2.

Thus, LCM of Fractions is 4836.Finally, LCM of Fractions for 8/722, 78/308, 31/870 is 4836.