Least Common Multiple of 36/42, 78/51, 45/30, 70/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/42, 78/51, 45/30, 70/934 quickly i.e. 16380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/42, 78/51, 45/30, 70/934 is 16380.

LCM(36/42, 78/51, 45/30, 70/934) = 16380

LCM of 36/42, 78/51, 45/30, 70/934

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 36/42,78/51,45/30,70/934

Given numbers are 36/42,78/51,45/30,70/934

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 36,78,45,70

Least Common Multiple of Numerators i.e. LCM of 36,78,45,70 is 16380.

GCF of Denominators means GCF of 42,51,30,934 as per the given fractions.

GCF of 42,51,30,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,78,45,70

LCM of Fractions 36/42,78/51,45/30,70/934 is 16380

2 36, 78, 45, 70
3 18, 39, 45, 35
3 6, 13, 15, 35
5 2, 13, 5, 35
2, 13, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 2 x 13 x 1 x 7 = 16380

Least Common Multiple of 36,78,45,70 with GCF Formula

Least Common Multiple of 36,78,45,70 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 36,78,45,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,78,45,70) = 1

common factors(in case of two or more numbers have common factors) = 540

GCF(36,78,45,70) x common factors =1 x 540 = 540

LCM(36,78,45,70) = ( 36 × 78 × 45 × 70 ) / 540

LCM(36,78,45,70) = 8845200 / 540

LCM(36,78,45,70) = 16380


Lets's calculate GCF of 42,51,30,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/1

Therefore the LCM of Fractions 36/42,78/51,45/30,70/934 is 16380

Greatest Common Factor of 42,51,30,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,51,30,934 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 42,51,30,934 . The biggest common factor number is the GCF number.
So the greatest common factor 42,51,30,934 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 36/42, 78/51, 45/30, 70/934

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 36/42, 78/51, 45/30, 70/934?

Answer: LCM of Numerators as per given numbers 36/42, 78/51, 45/30, 70/934 is

LCM of Numerators i.e. for 36,78,45,70 is 16380

GCF of denominators i.e. for 42,51,30,934 is 1.

Thus, LCM of Fractions is 16380.Finally, LCM of Fractions for 36/42, 78/51, 45/30, 70/934 is 16380.