Least Common Multiple of 55/596, 40/486, 820/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/596, 40/486, 820/956 quickly i.e. 9020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/596, 40/486, 820/956 is 9020.

LCM(55/596, 40/486, 820/956) = 9020

LCM of 55/596, 40/486, 820/956

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 55/596,40/486,820/956

Given numbers are 55/596,40/486,820/956

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 55,40,820

Least Common Multiple of Numerators i.e. LCM of 55,40,820 is 18040.

GCF of Denominators means GCF of 596,486,956 as per the given fractions.

GCF of 596,486,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,40,820

LCM of Fractions 55/596,40/486,820/956 is 9020

2 55, 40, 820
2 55, 20, 410
5 55, 10, 205
11, 2, 41

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 2 x 41 = 18040

Least Common Multiple of 55,40,820 with GCF Formula

Least Common Multiple of 55,40,820 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 55,40,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,40,820) = 5

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

GCF(55,40,820) x common factors =5 x 20 = 100

LCM(55,40,820) = ( 55 × 40 × 820 ) / 100

LCM(55,40,820) = 1804000 / 100

LCM(55,40,820) = 18040


Lets's calculate GCF of 596,486,956

2 596, 486, 956
298, 243, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18040/2

Therefore the LCM of Fractions 55/596,40/486,820/956 is 9020

Greatest Common Factor of 596,486,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,486,956 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 596,486,956 . The biggest common factor number is the GCF number.
So the greatest common factor 596,486,956 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 55/596, 40/486, 820/956

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 55/596, 40/486, 820/956?

Answer: LCM of Numerators as per given numbers 55/596, 40/486, 820/956 is

LCM of Numerators i.e. for 55,40,820 is 18040

GCF of denominators i.e. for 596,486,956 is 2.

Thus, LCM of Fractions is 9020.Finally, LCM of Fractions for 55/596, 40/486, 820/956 is 9020.