Least Common Multiple of 6/13, 6/27, 45/42, 70/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/13, 6/27, 45/42, 70/530 quickly i.e. 630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/13, 6/27, 45/42, 70/530 is 630.

LCM(6/13, 6/27, 45/42, 70/530) = 630

LCM of 6/13, 6/27, 45/42, 70/530

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 6/13,6/27,45/42,70/530

Given numbers are 6/13,6/27,45/42,70/530

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 6,6,45,70

Least Common Multiple of Numerators i.e. LCM of 6,6,45,70 is 630.

GCF of Denominators means GCF of 13,27,42,530 as per the given fractions.

GCF of 13,27,42,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,6,45,70

LCM of Fractions 6/13,6/27,45/42,70/530 is 630

2 6, 6, 45, 70
3 3, 3, 45, 35
5 1, 1, 15, 35
1, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 1 x 3 x 7 = 630

Least Common Multiple of 6,6,45,70 with GCF Formula

Least Common Multiple of 6,6,45,70 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 6,6,45,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,6,45,70) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(6,6,45,70) x common factors =1 x 180 = 180

LCM(6,6,45,70) = ( 6 × 6 × 45 × 70 ) / 180

LCM(6,6,45,70) = 113400 / 180

LCM(6,6,45,70) = 630


Lets's calculate GCF of 13,27,42,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/1

Therefore the LCM of Fractions 6/13,6/27,45/42,70/530 is 630

Greatest Common Factor of 13,27,42,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,27,42,530 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

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 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 13,27,42,530 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,42,530 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 6/13, 6/27, 45/42, 70/530

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 6/13, 6/27, 45/42, 70/530?

Answer: LCM of Numerators as per given numbers 6/13, 6/27, 45/42, 70/530 is

LCM of Numerators i.e. for 6,6,45,70 is 630

GCF of denominators i.e. for 13,27,42,530 is 1.

Thus, LCM of Fractions is 630.Finally, LCM of Fractions for 6/13, 6/27, 45/42, 70/530 is 630.