Least Common Multiple of 40/42, 51/41, 54/27, 78/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/42, 51/41, 54/27, 78/646 quickly i.e. 238680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/42, 51/41, 54/27, 78/646 is 238680.

LCM(40/42, 51/41, 54/27, 78/646) = 238680

LCM of 40/42, 51/41, 54/27, 78/646

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 40/42,51/41,54/27,78/646

Given numbers are 40/42,51/41,54/27,78/646

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 40,51,54,78

Least Common Multiple of Numerators i.e. LCM of 40,51,54,78 is 238680.

GCF of Denominators means GCF of 42,41,27,646 as per the given fractions.

GCF of 42,41,27,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,51,54,78

LCM of Fractions 40/42,51/41,54/27,78/646 is 238680

2 40, 51, 54, 78
3 20, 51, 27, 39
20, 17, 9, 13

∴ So the LCM of the given numbers is 2 x 3 x 20 x 17 x 9 x 13 = 238680

Least Common Multiple of 40,51,54,78 with GCF Formula

Least Common Multiple of 40,51,54,78 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 40,51,54,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,51,54,78) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(40,51,54,78) x common factors =1 x 36 = 36

LCM(40,51,54,78) = ( 40 × 51 × 54 × 78 ) / 36

LCM(40,51,54,78) = 8592480 / 36

LCM(40,51,54,78) = 238680


Lets's calculate GCF of 42,41,27,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238680/1

Therefore the LCM of Fractions 40/42,51/41,54/27,78/646 is 238680

Greatest Common Factor of 42,41,27,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,41,27,646 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 41

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

1,41

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 42,41,27,646 . The biggest common factor number is the GCF number.
So the greatest common factor 42,41,27,646 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 40/42, 51/41, 54/27, 78/646

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 40/42, 51/41, 54/27, 78/646?

Answer: LCM of Numerators as per given numbers 40/42, 51/41, 54/27, 78/646 is

LCM of Numerators i.e. for 40,51,54,78 is 238680

GCF of denominators i.e. for 42,41,27,646 is 1.

Thus, LCM of Fractions is 238680.Finally, LCM of Fractions for 40/42, 51/41, 54/27, 78/646 is 238680.