Least Common Multiple of 30/69, 47/46, 26/78, 87/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/69, 47/46, 26/78, 87/961 quickly i.e. 531570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/69, 47/46, 26/78, 87/961 is 531570.

LCM(30/69, 47/46, 26/78, 87/961) = 531570

LCM of 30/69, 47/46, 26/78, 87/961

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 30/69,47/46,26/78,87/961

Given numbers are 30/69,47/46,26/78,87/961

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 30,47,26,87

Least Common Multiple of Numerators i.e. LCM of 30,47,26,87 is 531570.

GCF of Denominators means GCF of 69,46,78,961 as per the given fractions.

GCF of 69,46,78,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,47,26,87

LCM of Fractions 30/69,47/46,26/78,87/961 is 531570

2 30, 47, 26, 87
3 15, 47, 13, 87
5, 47, 13, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 13 x 29 = 531570

Least Common Multiple of 30,47,26,87 with GCF Formula

Least Common Multiple of 30,47,26,87 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 30,47,26,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,47,26,87) = 1

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

GCF(30,47,26,87) x common factors =1 x 6 = 6

LCM(30,47,26,87) = ( 30 × 47 × 26 × 87 ) / 6

LCM(30,47,26,87) = 3189420 / 6

LCM(30,47,26,87) = 531570


Lets's calculate GCF of 69,46,78,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531570/1

Therefore the LCM of Fractions 30/69,47/46,26/78,87/961 is 531570

Greatest Common Factor of 69,46,78,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,46,78,961 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 69,46,78,961 . The biggest common factor number is the GCF number.
So the greatest common factor 69,46,78,961 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 30/69, 47/46, 26/78, 87/961

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 30/69, 47/46, 26/78, 87/961?

Answer: LCM of Numerators as per given numbers 30/69, 47/46, 26/78, 87/961 is

LCM of Numerators i.e. for 30,47,26,87 is 531570

GCF of denominators i.e. for 69,46,78,961 is 1.

Thus, LCM of Fractions is 531570.Finally, LCM of Fractions for 30/69, 47/46, 26/78, 87/961 is 531570.