Least Common Multiple of 556/593, 6640/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 556/593, 6640/422 quickly i.e. 922960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/593, 6640/422 is 922960.

LCM(556/593, 6640/422) = 922960

LCM of 556/593, 6640/422

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 556/593,6640/422

Given numbers are 556/593,6640/422

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 556,6640

Least Common Multiple of Numerators i.e. LCM of 556,6640 is 922960.

GCF of Denominators means GCF of 593,422 as per the given fractions.

GCF of 593,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,6640

LCM of Fractions 556/593,6640/422 is 922960

2 556, 6640
2 278, 3320
139, 1660

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1660 = 922960

Least Common Multiple of 556,6640 with GCF Formula

Least Common Multiple of 556,6640 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 556,6640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,6640) = 4

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

GCF(556,6640) x common factors =4 x 1 = 4

LCM(556,6640) = ( 556 × 6640 ) / 4

LCM(556,6640) = 3691840 / 4

LCM(556,6640) = 922960


Lets's calculate GCF of 593,422

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 922960/1

Therefore the LCM of Fractions 556/593,6640/422 is 922960

Greatest Common Factor of 593,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 593,422 By Matching Biggest Common Factor Method

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 593,422 . The biggest common factor number is the GCF number.
So the greatest common factor 593,422 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 556/593, 6640/422

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 556/593, 6640/422?

Answer: LCM of Numerators as per given numbers 556/593, 6640/422 is

LCM of Numerators i.e. for 556,6640 is 922960

GCF of denominators i.e. for 593,422 is 1.

Thus, LCM of Fractions is 922960.Finally, LCM of Fractions for 556/593, 6640/422 is 922960.