Least Common Multiple of 474/906, 788/136, 592/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/906, 788/136, 592/970 quickly i.e. 13819944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/906, 788/136, 592/970 is 13819944.

LCM(474/906, 788/136, 592/970) = 13819944

LCM of 474/906, 788/136, 592/970

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 474/906,788/136,592/970

Given numbers are 474/906,788/136,592/970

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 474,788,592

Least Common Multiple of Numerators i.e. LCM of 474,788,592 is 27639888.

GCF of Denominators means GCF of 906,136,970 as per the given fractions.

GCF of 906,136,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,788,592

LCM of Fractions 474/906,788/136,592/970 is 13819944

2 474, 788, 592
2 237, 394, 296
237, 197, 148

∴ So the LCM of the given numbers is 2 x 2 x 237 x 197 x 148 = 27639888

Least Common Multiple of 474,788,592 with GCF Formula

Least Common Multiple of 474,788,592 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 474,788,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,788,592) = 2

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

GCF(474,788,592) x common factors =2 x 4 = 8

LCM(474,788,592) = ( 474 × 788 × 592 ) / 8

LCM(474,788,592) = 221119104 / 8

LCM(474,788,592) = 27639888


Lets's calculate GCF of 906,136,970

2 906, 136, 970
453, 68, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27639888/2

Therefore the LCM of Fractions 474/906,788/136,592/970 is 13819944

Greatest Common Factor of 906,136,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,136,970 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 906,136,970 . The biggest common factor number is the GCF number.
So the greatest common factor 906,136,970 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 474/906, 788/136, 592/970

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 474/906, 788/136, 592/970?

Answer: LCM of Numerators as per given numbers 474/906, 788/136, 592/970 is

LCM of Numerators i.e. for 474,788,592 is 27639888

GCF of denominators i.e. for 906,136,970 is 2.

Thus, LCM of Fractions is 13819944.Finally, LCM of Fractions for 474/906, 788/136, 592/970 is 13819944.