Least Common Multiple of 13/70, 45/63, 78/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/70, 45/63, 78/123 quickly i.e. 1170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/70, 45/63, 78/123 is 1170.

LCM(13/70, 45/63, 78/123) = 1170

LCM of 13/70, 45/63, 78/123

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 13/70,45/63,78/123

Given numbers are 13/70,45/63,78/123

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 13,45,78

Least Common Multiple of Numerators i.e. LCM of 13,45,78 is 1170.

GCF of Denominators means GCF of 70,63,123 as per the given fractions.

GCF of 70,63,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,45,78

LCM of Fractions 13/70,45/63,78/123 is 1170

3 13, 45, 78
13 13, 15, 26
1, 15, 2

∴ So the LCM of the given numbers is 3 x 13 x 1 x 15 x 2 = 1170

Least Common Multiple of 13,45,78 with GCF Formula

Least Common Multiple of 13,45,78 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 13,45,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,45,78) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(13,45,78) x common factors =1 x 39 = 39

LCM(13,45,78) = ( 13 × 45 × 78 ) / 39

LCM(13,45,78) = 45630 / 39

LCM(13,45,78) = 1170


Lets's calculate GCF of 70,63,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170/1

Therefore the LCM of Fractions 13/70,45/63,78/123 is 1170

Greatest Common Factor of 70,63,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,63,123 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 70,63,123 . The biggest common factor number is the GCF number.
So the greatest common factor 70,63,123 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/70, 45/63, 78/123

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 13/70, 45/63, 78/123?

Answer: LCM of Numerators as per given numbers 13/70, 45/63, 78/123 is

LCM of Numerators i.e. for 13,45,78 is 1170

GCF of denominators i.e. for 70,63,123 is 1.

Thus, LCM of Fractions is 1170.Finally, LCM of Fractions for 13/70, 45/63, 78/123 is 1170.