Least Common Multiple of 957/181, 399/456, 159/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 957/181, 399/456, 159/683 quickly i.e. 6745893 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 957/181, 399/456, 159/683 is 6745893.

LCM(957/181, 399/456, 159/683) = 6745893

LCM of 957/181, 399/456, 159/683

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 957/181,399/456,159/683

Given numbers are 957/181,399/456,159/683

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 957,399,159

Least Common Multiple of Numerators i.e. LCM of 957,399,159 is 6745893.

GCF of Denominators means GCF of 181,456,683 as per the given fractions.

GCF of 181,456,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 957,399,159

LCM of Fractions 957/181,399/456,159/683 is 6745893

3 957, 399, 159
319, 133, 53

∴ So the LCM of the given numbers is 3 x 319 x 133 x 53 = 6745893

Least Common Multiple of 957,399,159 with GCF Formula

Least Common Multiple of 957,399,159 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 957,399,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,399,159) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(957,399,159) x common factors =3 x 3 = 9

LCM(957,399,159) = ( 957 × 399 × 159 ) / 9

LCM(957,399,159) = 60713037 / 9

LCM(957,399,159) = 6745893


Lets's calculate GCF of 181,456,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6745893/1

Therefore the LCM of Fractions 957/181,399/456,159/683 is 6745893

Greatest Common Factor of 181,456,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,456,683 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 181,456,683 . The biggest common factor number is the GCF number.
So the greatest common factor 181,456,683 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 957/181, 399/456, 159/683

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 957/181, 399/456, 159/683?

Answer: LCM of Numerators as per given numbers 957/181, 399/456, 159/683 is

LCM of Numerators i.e. for 957,399,159 is 6745893

GCF of denominators i.e. for 181,456,683 is 1.

Thus, LCM of Fractions is 6745893.Finally, LCM of Fractions for 957/181, 399/456, 159/683 is 6745893.