Least Common Multiple of 6874/80, 4568/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6874/80, 4568/341 quickly i.e. 15700216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6874/80, 4568/341 is 15700216.

LCM(6874/80, 4568/341) = 15700216

LCM of 6874/80, 4568/341

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 6874/80,4568/341

Given numbers are 6874/80,4568/341

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 6874,4568

Least Common Multiple of Numerators i.e. LCM of 6874,4568 is 15700216.

GCF of Denominators means GCF of 80,341 as per the given fractions.

GCF of 80,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6874,4568

LCM of Fractions 6874/80,4568/341 is 15700216

2 6874, 4568
3437, 2284

∴ So the LCM of the given numbers is 2 x 3437 x 2284 = 15700216

Least Common Multiple of 6874,4568 with GCF Formula

Least Common Multiple of 6874,4568 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 6874,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6874,4568) = 2

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

GCF(6874,4568) x common factors =2 x 1 = 2

LCM(6874,4568) = ( 6874 × 4568 ) / 2

LCM(6874,4568) = 31400432 / 2

LCM(6874,4568) = 15700216


Lets's calculate GCF of 80,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15700216/1

Therefore the LCM of Fractions 6874/80,4568/341 is 15700216

Greatest Common Factor of 80,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,341 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 80,341 . The biggest common factor number is the GCF number.
So the greatest common factor 80,341 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 6874/80, 4568/341

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 6874/80, 4568/341?

Answer: LCM of Numerators as per given numbers 6874/80, 4568/341 is

LCM of Numerators i.e. for 6874,4568 is 15700216

GCF of denominators i.e. for 80,341 is 1.

Thus, LCM of Fractions is 15700216.Finally, LCM of Fractions for 6874/80, 4568/341 is 15700216.