Least Common Multiple of 20/902, 631/344, 776/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/902, 631/344, 776/232 quickly i.e. 1224140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/902, 631/344, 776/232 is 1224140.

LCM(20/902, 631/344, 776/232) = 1224140

LCM of 20/902, 631/344, 776/232

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 20/902,631/344,776/232

Given numbers are 20/902,631/344,776/232

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 20,631,776

Least Common Multiple of Numerators i.e. LCM of 20,631,776 is 2448280.

GCF of Denominators means GCF of 902,344,232 as per the given fractions.

GCF of 902,344,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,631,776

LCM of Fractions 20/902,631/344,776/232 is 1224140

2 20, 631, 776
2 10, 631, 388
5, 631, 194

∴ So the LCM of the given numbers is 2 x 2 x 5 x 631 x 194 = 2448280

Least Common Multiple of 20,631,776 with GCF Formula

Least Common Multiple of 20,631,776 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 20,631,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,631,776) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,631,776) x common factors =1 x 4 = 4

LCM(20,631,776) = ( 20 × 631 × 776 ) / 4

LCM(20,631,776) = 9793120 / 4

LCM(20,631,776) = 2448280


Lets's calculate GCF of 902,344,232

2 902, 344, 232
451, 172, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2448280/2

Therefore the LCM of Fractions 20/902,631/344,776/232 is 1224140

Greatest Common Factor of 902,344,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,344,232 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 902,344,232 . The biggest common factor number is the GCF number.
So the greatest common factor 902,344,232 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/902, 631/344, 776/232

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 20/902, 631/344, 776/232?

Answer: LCM of Numerators as per given numbers 20/902, 631/344, 776/232 is

LCM of Numerators i.e. for 20,631,776 is 2448280

GCF of denominators i.e. for 902,344,232 is 2.

Thus, LCM of Fractions is 1224140.Finally, LCM of Fractions for 20/902, 631/344, 776/232 is 1224140.