Least Common Multiple of 61/31, 468/80, 566/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 61/31, 468/80, 566/674 quickly i.e. 8079084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/31, 468/80, 566/674 is 8079084.

LCM(61/31, 468/80, 566/674) = 8079084

LCM of 61/31, 468/80, 566/674

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 61/31,468/80,566/674

Given numbers are 61/31,468/80,566/674

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 61,468,566

Least Common Multiple of Numerators i.e. LCM of 61,468,566 is 8079084.

GCF of Denominators means GCF of 31,80,674 as per the given fractions.

GCF of 31,80,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,468,566

LCM of Fractions 61/31,468/80,566/674 is 8079084

2 61, 468, 566
61, 234, 283

∴ So the LCM of the given numbers is 2 x 61 x 234 x 283 = 8079084

Least Common Multiple of 61,468,566 with GCF Formula

Least Common Multiple of 61,468,566 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 61,468,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,468,566) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(61,468,566) x common factors =1 x 2 = 2

LCM(61,468,566) = ( 61 × 468 × 566 ) / 2

LCM(61,468,566) = 16158168 / 2

LCM(61,468,566) = 8079084


Lets's calculate GCF of 31,80,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8079084/1

Therefore the LCM of Fractions 61/31,468/80,566/674 is 8079084

Greatest Common Factor of 31,80,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,80,674 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 31,80,674 . The biggest common factor number is the GCF number.
So the greatest common factor 31,80,674 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 61/31, 468/80, 566/674

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 61/31, 468/80, 566/674?

Answer: LCM of Numerators as per given numbers 61/31, 468/80, 566/674 is

LCM of Numerators i.e. for 61,468,566 is 8079084

GCF of denominators i.e. for 31,80,674 is 1.

Thus, LCM of Fractions is 8079084.Finally, LCM of Fractions for 61/31, 468/80, 566/674 is 8079084.