Least Common Multiple of 31/66, 667/34, 520/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/66, 667/34, 520/218 quickly i.e. 5376020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/66, 667/34, 520/218 is 5376020.

LCM(31/66, 667/34, 520/218) = 5376020

LCM of 31/66, 667/34, 520/218

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 31/66,667/34,520/218

Given numbers are 31/66,667/34,520/218

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 31,667,520

Least Common Multiple of Numerators i.e. LCM of 31,667,520 is 10752040.

GCF of Denominators means GCF of 66,34,218 as per the given fractions.

GCF of 66,34,218 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,667,520

LCM of Fractions 31/66,667/34,520/218 is 5376020

Given numbers has no common factors except 1. So, there LCM is their product i.e 10752040

Least Common Multiple of 31,667,520 with GCF Formula

Least Common Multiple of 31,667,520 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 31,667,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,667,520) = 1

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

GCF(31,667,520) x common factors =1 x 1 = 1

LCM(31,667,520) = ( 31 × 667 × 520 ) / 1

LCM(31,667,520) = 10752040 / 1

LCM(31,667,520) = 10752040


Lets's calculate GCF of 66,34,218

2 66, 34, 218
33, 17, 109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10752040/2

Therefore the LCM of Fractions 31/66,667/34,520/218 is 5376020

Greatest Common Factor of 66,34,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,34,218 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 66,34,218 . The biggest common factor number is the GCF number.
So the greatest common factor 66,34,218 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/66, 667/34, 520/218

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 31/66, 667/34, 520/218?

Answer: LCM of Numerators as per given numbers 31/66, 667/34, 520/218 is

LCM of Numerators i.e. for 31,667,520 is 10752040

GCF of denominators i.e. for 66,34,218 is 2.

Thus, LCM of Fractions is 5376020.Finally, LCM of Fractions for 31/66, 667/34, 520/218 is 5376020.