Least Common Multiple of 378/43, 144/76, 984/58

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/43, 144/76, 984/58 quickly i.e. 123984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/43, 144/76, 984/58 is 123984.

LCM(378/43, 144/76, 984/58) = 123984

LCM of 378/43, 144/76, 984/58

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 378/43,144/76,984/58

Given numbers are 378/43,144/76,984/58

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 378,144,984

Least Common Multiple of Numerators i.e. LCM of 378,144,984 is 123984.

GCF of Denominators means GCF of 43,76,58 as per the given fractions.

GCF of 43,76,58 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,144,984

LCM of Fractions 378/43,144/76,984/58 is 123984

2 378, 144, 984
2 189, 72, 492
2 189, 36, 246
3 189, 18, 123
3 63, 6, 41
21, 2, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 21 x 2 x 41 = 123984

Least Common Multiple of 378,144,984 with GCF Formula

Least Common Multiple of 378,144,984 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 378,144,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,144,984) = 6

common factors(in case of two or more numbers have common factors) = 72

GCF(378,144,984) x common factors =6 x 72 = 432

LCM(378,144,984) = ( 378 × 144 × 984 ) / 432

LCM(378,144,984) = 53561088 / 432

LCM(378,144,984) = 123984


Lets's calculate GCF of 43,76,58

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123984/1

Therefore the LCM of Fractions 378/43,144/76,984/58 is 123984

Greatest Common Factor of 43,76,58 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,76,58 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Greatest Common Factor

We found the factors 43,76,58 . The biggest common factor number is the GCF number.
So the greatest common factor 43,76,58 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 378/43, 144/76, 984/58

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 378/43, 144/76, 984/58?

Answer: LCM of Numerators as per given numbers 378/43, 144/76, 984/58 is

LCM of Numerators i.e. for 378,144,984 is 123984

GCF of denominators i.e. for 43,76,58 is 1.

Thus, LCM of Fractions is 123984.Finally, LCM of Fractions for 378/43, 144/76, 984/58 is 123984.