Least Common Multiple of 61/78, 586/40, 571/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/78, 586/40, 571/264 quickly i.e. 10205483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/78, 586/40, 571/264 is 10205483.

LCM(61/78, 586/40, 571/264) = 10205483

LCM of 61/78, 586/40, 571/264

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 61/78,586/40,571/264

Given numbers are 61/78,586/40,571/264

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 61,586,571

Least Common Multiple of Numerators i.e. LCM of 61,586,571 is 20410966.

GCF of Denominators means GCF of 78,40,264 as per the given fractions.

GCF of 78,40,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,586,571

LCM of Fractions 61/78,586/40,571/264 is 10205483

Given numbers has no common factors except 1. So, there LCM is their product i.e 20410966

Least Common Multiple of 61,586,571 with GCF Formula

Least Common Multiple of 61,586,571 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 61,586,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,586,571) = 1

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

GCF(61,586,571) x common factors =1 x 1 = 1

LCM(61,586,571) = ( 61 × 586 × 571 ) / 1

LCM(61,586,571) = 20410966 / 1

LCM(61,586,571) = 20410966


Lets's calculate GCF of 78,40,264

2 78, 40, 264
39, 20, 132

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20410966/2

Therefore the LCM of Fractions 61/78,586/40,571/264 is 10205483

Greatest Common Factor of 78,40,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,40,264 By Matching Biggest Common Factor Method

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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 78,40,264 . The biggest common factor number is the GCF number.
So the greatest common factor 78,40,264 is 2.


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 61/78, 586/40, 571/264

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 61/78, 586/40, 571/264?

Answer: LCM of Numerators as per given numbers 61/78, 586/40, 571/264 is

LCM of Numerators i.e. for 61,586,571 is 20410966

GCF of denominators i.e. for 78,40,264 is 2.

Thus, LCM of Fractions is 10205483.Finally, LCM of Fractions for 61/78, 586/40, 571/264 is 10205483.