Least Common Multiple of 108/43, 544/41, 984/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/43, 544/41, 984/548 quickly i.e. 602208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/43, 544/41, 984/548 is 602208.

LCM(108/43, 544/41, 984/548) = 602208

LCM of 108/43, 544/41, 984/548

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 108/43,544/41,984/548

Given numbers are 108/43,544/41,984/548

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 108,544,984

Least Common Multiple of Numerators i.e. LCM of 108,544,984 is 602208.

GCF of Denominators means GCF of 43,41,548 as per the given fractions.

GCF of 43,41,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,544,984

LCM of Fractions 108/43,544/41,984/548 is 602208

2 108, 544, 984
2 54, 272, 492
2 27, 136, 246
3 27, 68, 123
9, 68, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 9 x 68 x 41 = 602208

Least Common Multiple of 108,544,984 with GCF Formula

Least Common Multiple of 108,544,984 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 108,544,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,544,984) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(108,544,984) x common factors =4 x 24 = 96

LCM(108,544,984) = ( 108 × 544 × 984 ) / 96

LCM(108,544,984) = 57811968 / 96

LCM(108,544,984) = 602208


Lets's calculate GCF of 43,41,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602208/1

Therefore the LCM of Fractions 108/43,544/41,984/548 is 602208

Greatest Common Factor of 43,41,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,41,548 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 43,41,548 . The biggest common factor number is the GCF number.
So the greatest common factor 43,41,548 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 108/43, 544/41, 984/548

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 108/43, 544/41, 984/548?

Answer: LCM of Numerators as per given numbers 108/43, 544/41, 984/548 is

LCM of Numerators i.e. for 108,544,984 is 602208

GCF of denominators i.e. for 43,41,548 is 1.

Thus, LCM of Fractions is 602208.Finally, LCM of Fractions for 108/43, 544/41, 984/548 is 602208.