Least Common Multiple of 130/15, 1170/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/15, 1170/645 quickly i.e. 78 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/15, 1170/645 is 78.

LCM(130/15, 1170/645) = 78

LCM of 130/15, 1170/645

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 130/15,1170/645

Given numbers are 130/15,1170/645

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 130,1170

Least Common Multiple of Numerators i.e. LCM of 130,1170 is 1170.

GCF of Denominators means GCF of 15,645 as per the given fractions.

GCF of 15,645 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,1170

LCM of Fractions 130/15,1170/645 is 78

2 130, 1170
5 65, 585
13 13, 117
1, 9

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 9 = 1170

Least Common Multiple of 130,1170 with GCF Formula

Least Common Multiple of 130,1170 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 130,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,1170) = 130

common factors(in case of two or more numbers have common factors) = 1

GCF(130,1170) x common factors =130 x 1 = 130

LCM(130,1170) = ( 130 × 1170 ) / 130

LCM(130,1170) = 152100 / 130

LCM(130,1170) = 1170


Lets's calculate GCF of 15,645

3 15, 645
5 5, 215
1, 43

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170/15

Therefore the LCM of Fractions 130/15,1170/645 is 78

Greatest Common Factor of 15,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,645 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 15,645 . The biggest common factor number is the GCF number.
So the greatest common factor 15,645 is 15.


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 130/15, 1170/645

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 130/15, 1170/645?

Answer: LCM of Numerators as per given numbers 130/15, 1170/645 is

LCM of Numerators i.e. for 130,1170 is 1170

GCF of denominators i.e. for 15,645 is 15.

Thus, LCM of Fractions is 78.Finally, LCM of Fractions for 130/15, 1170/645 is 78.