Least Common Multiple of 6139/632, 7074/1659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6139/632, 7074/1659 quickly i.e. 43427286/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6139/632, 7074/1659 is 43427286/79.

LCM(6139/632, 7074/1659) = 43427286/79

LCM of 6139/632, 7074/1659

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 6139/632,7074/1659

Given numbers are 6139/632,7074/1659

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 6139,7074

Least Common Multiple of Numerators i.e. LCM of 6139,7074 is 43427286.

GCF of Denominators means GCF of 632,1659 as per the given fractions.

GCF of 632,1659 is 79 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6139,7074

LCM of Fractions 6139/632,7074/1659 is 43427286/79

Given numbers has no common factors except 1. So, there LCM is their product i.e 43427286

Least Common Multiple of 6139,7074 with GCF Formula

Least Common Multiple of 6139,7074 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 6139,7074 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6139,7074) = 1

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

GCF(6139,7074) x common factors =1 x 1 = 1

LCM(6139,7074) = ( 6139 × 7074 ) / 1

LCM(6139,7074) = 43427286 / 1

LCM(6139,7074) = 43427286


Lets's calculate GCF of 632,1659

79 632, 1659
8, 21

∴ So the GCF of the given numbers is 79 = 79

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43427286/79

Therefore the LCM of Fractions 6139/632,7074/1659 is 43427286/79

Greatest Common Factor of 632,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,1659 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 632,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 632,1659 is 79.


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 6139/632, 7074/1659

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 6139/632, 7074/1659?

Answer: LCM of Numerators as per given numbers 6139/632, 7074/1659 is

LCM of Numerators i.e. for 6139,7074 is 43427286

GCF of denominators i.e. for 632,1659 is 79.

Thus, LCM of Fractions is 43427286/79.Finally, LCM of Fractions for 6139/632, 7074/1659 is 43427286/79.