Least Common Multiple of 5940/342, 6398/4528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5940/342, 6398/4528 quickly i.e. 9501030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5940/342, 6398/4528 is 9501030.

LCM(5940/342, 6398/4528) = 9501030

LCM of 5940/342, 6398/4528

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 5940/342,6398/4528

Given numbers are 5940/342,6398/4528

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 5940,6398

Least Common Multiple of Numerators i.e. LCM of 5940,6398 is 19002060.

GCF of Denominators means GCF of 342,4528 as per the given fractions.

GCF of 342,4528 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5940,6398

LCM of Fractions 5940/342,6398/4528 is 9501030

2 5940, 6398
2970, 3199

∴ So the LCM of the given numbers is 2 x 2970 x 3199 = 19002060

Least Common Multiple of 5940,6398 with GCF Formula

Least Common Multiple of 5940,6398 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 5940,6398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5940,6398) = 2

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

GCF(5940,6398) x common factors =2 x 1 = 2

LCM(5940,6398) = ( 5940 × 6398 ) / 2

LCM(5940,6398) = 38004120 / 2

LCM(5940,6398) = 19002060


Lets's calculate GCF of 342,4528

2 342, 4528
171, 2264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19002060/2

Therefore the LCM of Fractions 5940/342,6398/4528 is 9501030

Greatest Common Factor of 342,4528 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,4528 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1,2,4,8,16,283,566,1132,2264,4528

Greatest Common Factor

We found the factors 342,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 342,4528 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 5940/342, 6398/4528

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 5940/342, 6398/4528?

Answer: LCM of Numerators as per given numbers 5940/342, 6398/4528 is

LCM of Numerators i.e. for 5940,6398 is 19002060

GCF of denominators i.e. for 342,4528 is 2.

Thus, LCM of Fractions is 9501030.Finally, LCM of Fractions for 5940/342, 6398/4528 is 9501030.