Least Common Multiple of 439/56, 920/5956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 439/56, 920/5956 quickly i.e. 100970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 439/56, 920/5956 is 100970.

LCM(439/56, 920/5956) = 100970

LCM of 439/56, 920/5956

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 439/56,920/5956

Given numbers are 439/56,920/5956

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 439,920

Least Common Multiple of Numerators i.e. LCM of 439,920 is 403880.

GCF of Denominators means GCF of 56,5956 as per the given fractions.

GCF of 56,5956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 439,920

LCM of Fractions 439/56,920/5956 is 100970

Given numbers has no common factors except 1. So, there LCM is their product i.e 403880

Least Common Multiple of 439,920 with GCF Formula

Least Common Multiple of 439,920 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 439,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,920) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(439,920) x common factors =1 x 1 = 1

LCM(439,920) = ( 439 × 920 ) / 1

LCM(439,920) = 403880 / 1

LCM(439,920) = 403880


Lets's calculate GCF of 56,5956

2 56, 5956
2 28, 2978
14, 1489

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403880/4

Therefore the LCM of Fractions 439/56,920/5956 is 100970

Greatest Common Factor of 56,5956 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,5956 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 5956

List of positive integer factors of 5956 that divides 5956 without a remainder.

1,2,4,1489,2978,5956

Greatest Common Factor

We found the factors 56,5956 . The biggest common factor number is the GCF number.
So the greatest common factor 56,5956 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 439/56, 920/5956

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 439/56, 920/5956?

Answer: LCM of Numerators as per given numbers 439/56, 920/5956 is

LCM of Numerators i.e. for 439,920 is 403880

GCF of denominators i.e. for 56,5956 is 4.

Thus, LCM of Fractions is 100970.Finally, LCM of Fractions for 439/56, 920/5956 is 100970.