Least Common Multiple of 392/952, 295/962, 855/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 392/952, 295/962, 855/994 quickly i.e. 9887220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/952, 295/962, 855/994 is 9887220.

LCM(392/952, 295/962, 855/994) = 9887220

LCM of 392/952, 295/962, 855/994

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 392/952,295/962,855/994

Given numbers are 392/952,295/962,855/994

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 392,295,855

Least Common Multiple of Numerators i.e. LCM of 392,295,855 is 19774440.

GCF of Denominators means GCF of 952,962,994 as per the given fractions.

GCF of 952,962,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,295,855

LCM of Fractions 392/952,295/962,855/994 is 9887220

5 392, 295, 855
392, 59, 171

∴ So the LCM of the given numbers is 5 x 392 x 59 x 171 = 19774440

Least Common Multiple of 392,295,855 with GCF Formula

Least Common Multiple of 392,295,855 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 392,295,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,295,855) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(392,295,855) x common factors =1 x 5 = 5

LCM(392,295,855) = ( 392 × 295 × 855 ) / 5

LCM(392,295,855) = 98872200 / 5

LCM(392,295,855) = 19774440


Lets's calculate GCF of 952,962,994

2 952, 962, 994
476, 481, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19774440/2

Therefore the LCM of Fractions 392/952,295/962,855/994 is 9887220

Greatest Common Factor of 952,962,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,962,994 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 952,962,994 . The biggest common factor number is the GCF number.
So the greatest common factor 952,962,994 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 392/952, 295/962, 855/994

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 392/952, 295/962, 855/994?

Answer: LCM of Numerators as per given numbers 392/952, 295/962, 855/994 is

LCM of Numerators i.e. for 392,295,855 is 19774440

GCF of denominators i.e. for 952,962,994 is 2.

Thus, LCM of Fractions is 9887220.Finally, LCM of Fractions for 392/952, 295/962, 855/994 is 9887220.