Least Common Multiple of 20/356, 40/598, 390/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/356, 40/598, 390/912 quickly i.e. 780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/356, 40/598, 390/912 is 780.

LCM(20/356, 40/598, 390/912) = 780

LCM of 20/356, 40/598, 390/912

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 20/356,40/598,390/912

Given numbers are 20/356,40/598,390/912

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 20,40,390

Least Common Multiple of Numerators i.e. LCM of 20,40,390 is 1560.

GCF of Denominators means GCF of 356,598,912 as per the given fractions.

GCF of 356,598,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,40,390

LCM of Fractions 20/356,40/598,390/912 is 780

2 20, 40, 390
2 10, 20, 195
5 5, 10, 195
1, 2, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 2 x 39 = 1560

Least Common Multiple of 20,40,390 with GCF Formula

Least Common Multiple of 20,40,390 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 20,40,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,40,390) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(20,40,390) x common factors =10 x 20 = 200

LCM(20,40,390) = ( 20 × 40 × 390 ) / 200

LCM(20,40,390) = 312000 / 200

LCM(20,40,390) = 1560


Lets's calculate GCF of 356,598,912

2 356, 598, 912
178, 299, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1560/2

Therefore the LCM of Fractions 20/356,40/598,390/912 is 780

Greatest Common Factor of 356,598,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,598,912 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 356,598,912 . The biggest common factor number is the GCF number.
So the greatest common factor 356,598,912 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 20/356, 40/598, 390/912

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 20/356, 40/598, 390/912?

Answer: LCM of Numerators as per given numbers 20/356, 40/598, 390/912 is

LCM of Numerators i.e. for 20,40,390 is 1560

GCF of denominators i.e. for 356,598,912 is 2.

Thus, LCM of Fractions is 780.Finally, LCM of Fractions for 20/356, 40/598, 390/912 is 780.