Least Common Multiple of 3/77, 42/638, 78/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/77, 42/638, 78/109 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 3/77, 42/638, 78/109 is 546.

LCM(3/77, 42/638, 78/109) = 546

LCM of 3/77, 42/638, 78/109

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 3/77,42/638,78/109

Given numbers are 3/77,42/638,78/109

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 3,42,78

Least Common Multiple of Numerators i.e. LCM of 3,42,78 is 546.

GCF of Denominators means GCF of 77,638,109 as per the given fractions.

GCF of 77,638,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,42,78

LCM of Fractions 3/77,42/638,78/109 is 546

2 3, 42, 78
3 3, 21, 39
1, 7, 13

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

Least Common Multiple of 3,42,78 with GCF Formula

Least Common Multiple of 3,42,78 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 3,42,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,42,78) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(3,42,78) x common factors =3 x 6 = 18

LCM(3,42,78) = ( 3 × 42 × 78 ) / 18

LCM(3,42,78) = 9828 / 18

LCM(3,42,78) = 546


Lets's calculate GCF of 77,638,109

∴ 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 3/77,42/638,78/109 is 546

Greatest Common Factor of 77,638,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,638,109 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 77,638,109 . The biggest common factor number is the GCF number.
So the greatest common factor 77,638,109 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 3/77, 42/638, 78/109

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 3/77, 42/638, 78/109?

Answer: LCM of Numerators as per given numbers 3/77, 42/638, 78/109 is

LCM of Numerators i.e. for 3,42,78 is 546

GCF of denominators i.e. for 77,638,109 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 3/77, 42/638, 78/109 is 546.