Least Common Multiple of 6/42, 7/89, 6/41, 78/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/42, 7/89, 6/41, 78/338 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/42, 7/89, 6/41, 78/338 is 546.

LCM(6/42, 7/89, 6/41, 78/338) = 546

LCM of 6/42, 7/89, 6/41, 78/338

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 6/42,7/89,6/41,78/338

Given numbers are 6/42,7/89,6/41,78/338

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 6,7,6,78

Least Common Multiple of Numerators i.e. LCM of 6,7,6,78 is 546.

GCF of Denominators means GCF of 42,89,41,338 as per the given fractions.

GCF of 42,89,41,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7,6,78

LCM of Fractions 6/42,7/89,6/41,78/338 is 546

2 6, 7, 6, 78
3 3, 7, 3, 39
1, 7, 1, 13

∴ So the LCM of the given numbers is 2 x 3 x 1 x 7 x 1 x 13 = 546

Least Common Multiple of 6,7,6,78 with GCF Formula

Least Common Multiple of 6,7,6,78 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 6,7,6,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7,6,78) = 1

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

GCF(6,7,6,78) x common factors =1 x 36 = 36

LCM(6,7,6,78) = ( 6 × 7 × 6 × 78 ) / 36

LCM(6,7,6,78) = 19656 / 36

LCM(6,7,6,78) = 546


Lets's calculate GCF of 42,89,41,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1

Therefore the LCM of Fractions 6/42,7/89,6/41,78/338 is 546

Greatest Common Factor of 42,89,41,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,89,41,338 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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 41

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

1,41

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 42,89,41,338 . The biggest common factor number is the GCF number.
So the greatest common factor 42,89,41,338 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 6/42, 7/89, 6/41, 78/338

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 6/42, 7/89, 6/41, 78/338?

Answer: LCM of Numerators as per given numbers 6/42, 7/89, 6/41, 78/338 is

LCM of Numerators i.e. for 6,7,6,78 is 546

GCF of denominators i.e. for 42,89,41,338 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 6/42, 7/89, 6/41, 78/338 is 546.