Least Common Multiple of 884/28, 543/40, 684/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 884/28, 543/40, 684/341 quickly i.e. 27360684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/28, 543/40, 684/341 is 27360684.

LCM(884/28, 543/40, 684/341) = 27360684

LCM of 884/28, 543/40, 684/341

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 884/28,543/40,684/341

Given numbers are 884/28,543/40,684/341

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 884,543,684

Least Common Multiple of Numerators i.e. LCM of 884,543,684 is 27360684.

GCF of Denominators means GCF of 28,40,341 as per the given fractions.

GCF of 28,40,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,543,684

LCM of Fractions 884/28,543/40,684/341 is 27360684

2 884, 543, 684
2 442, 543, 342
3 221, 543, 171
221, 181, 57

∴ So the LCM of the given numbers is 2 x 2 x 3 x 221 x 181 x 57 = 27360684

Least Common Multiple of 884,543,684 with GCF Formula

Least Common Multiple of 884,543,684 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 884,543,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,543,684) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(884,543,684) x common factors =1 x 12 = 12

LCM(884,543,684) = ( 884 × 543 × 684 ) / 12

LCM(884,543,684) = 328328208 / 12

LCM(884,543,684) = 27360684


Lets's calculate GCF of 28,40,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360684/1

Therefore the LCM of Fractions 884/28,543/40,684/341 is 27360684

Greatest Common Factor of 28,40,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,40,341 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

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

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 28,40,341 . The biggest common factor number is the GCF number.
So the greatest common factor 28,40,341 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 884/28, 543/40, 684/341

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 884/28, 543/40, 684/341?

Answer: LCM of Numerators as per given numbers 884/28, 543/40, 684/341 is

LCM of Numerators i.e. for 884,543,684 is 27360684

GCF of denominators i.e. for 28,40,341 is 1.

Thus, LCM of Fractions is 27360684.Finally, LCM of Fractions for 884/28, 543/40, 684/341 is 27360684.