Least Common Multiple of 61/728, 66/427, 180/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/728, 66/427, 180/870 quickly i.e. 120780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/728, 66/427, 180/870 is 120780.

LCM(61/728, 66/427, 180/870) = 120780

LCM of 61/728, 66/427, 180/870

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 61/728,66/427,180/870

Given numbers are 61/728,66/427,180/870

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 61,66,180

Least Common Multiple of Numerators i.e. LCM of 61,66,180 is 120780.

GCF of Denominators means GCF of 728,427,870 as per the given fractions.

GCF of 728,427,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,66,180

LCM of Fractions 61/728,66/427,180/870 is 120780

2 61, 66, 180
3 61, 33, 90
61, 11, 30

∴ So the LCM of the given numbers is 2 x 3 x 61 x 11 x 30 = 120780

Least Common Multiple of 61,66,180 with GCF Formula

Least Common Multiple of 61,66,180 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 61,66,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,66,180) = 1

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

GCF(61,66,180) x common factors =1 x 6 = 6

LCM(61,66,180) = ( 61 × 66 × 180 ) / 6

LCM(61,66,180) = 724680 / 6

LCM(61,66,180) = 120780


Lets's calculate GCF of 728,427,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120780/1

Therefore the LCM of Fractions 61/728,66/427,180/870 is 120780

Greatest Common Factor of 728,427,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,427,870 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 728,427,870 . The biggest common factor number is the GCF number.
So the greatest common factor 728,427,870 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 61/728, 66/427, 180/870

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 61/728, 66/427, 180/870?

Answer: LCM of Numerators as per given numbers 61/728, 66/427, 180/870 is

LCM of Numerators i.e. for 61,66,180 is 120780

GCF of denominators i.e. for 728,427,870 is 1.

Thus, LCM of Fractions is 120780.Finally, LCM of Fractions for 61/728, 66/427, 180/870 is 120780.