Least Common Multiple of 4576/122, 4244/6961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4576/122, 4244/6961 quickly i.e. 4855136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4576/122, 4244/6961 is 4855136.

LCM(4576/122, 4244/6961) = 4855136

LCM of 4576/122, 4244/6961

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 4576/122,4244/6961

Given numbers are 4576/122,4244/6961

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 4576,4244

Least Common Multiple of Numerators i.e. LCM of 4576,4244 is 4855136.

GCF of Denominators means GCF of 122,6961 as per the given fractions.

GCF of 122,6961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4576,4244

LCM of Fractions 4576/122,4244/6961 is 4855136

2 4576, 4244
2 2288, 2122
1144, 1061

∴ So the LCM of the given numbers is 2 x 2 x 1144 x 1061 = 4855136

Least Common Multiple of 4576,4244 with GCF Formula

Least Common Multiple of 4576,4244 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 4576,4244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4576,4244) = 4

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

GCF(4576,4244) x common factors =4 x 1 = 4

LCM(4576,4244) = ( 4576 × 4244 ) / 4

LCM(4576,4244) = 19420544 / 4

LCM(4576,4244) = 4855136


Lets's calculate GCF of 122,6961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4855136/1

Therefore the LCM of Fractions 4576/122,4244/6961 is 4855136

Greatest Common Factor of 122,6961 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,6961 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 6961

List of positive integer factors of 6961 that divides 6961 without a remainder.

1,6961

Greatest Common Factor

We found the factors 122,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 122,6961 is 1.


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 4576/122, 4244/6961

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 4576/122, 4244/6961?

Answer: LCM of Numerators as per given numbers 4576/122, 4244/6961 is

LCM of Numerators i.e. for 4576,4244 is 4855136

GCF of denominators i.e. for 122,6961 is 1.

Thus, LCM of Fractions is 4855136.Finally, LCM of Fractions for 4576/122, 4244/6961 is 4855136.