Least Common Multiple of 665/202, 381/142, 512/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 665/202, 381/142, 512/317 quickly i.e. 129722880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/202, 381/142, 512/317 is 129722880.

LCM(665/202, 381/142, 512/317) = 129722880

LCM of 665/202, 381/142, 512/317

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 665/202,381/142,512/317

Given numbers are 665/202,381/142,512/317

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 665,381,512

Least Common Multiple of Numerators i.e. LCM of 665,381,512 is 129722880.

GCF of Denominators means GCF of 202,142,317 as per the given fractions.

GCF of 202,142,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,381,512

LCM of Fractions 665/202,381/142,512/317 is 129722880

Given numbers has no common factors except 1. So, there LCM is their product i.e 129722880

Least Common Multiple of 665,381,512 with GCF Formula

Least Common Multiple of 665,381,512 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 665,381,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,381,512) = 1

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

GCF(665,381,512) x common factors =1 x 1 = 1

LCM(665,381,512) = ( 665 × 381 × 512 ) / 1

LCM(665,381,512) = 129722880 / 1

LCM(665,381,512) = 129722880


Lets's calculate GCF of 202,142,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129722880/1

Therefore the LCM of Fractions 665/202,381/142,512/317 is 129722880

Greatest Common Factor of 202,142,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,142,317 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 202,142,317 . The biggest common factor number is the GCF number.
So the greatest common factor 202,142,317 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 665/202, 381/142, 512/317

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 665/202, 381/142, 512/317?

Answer: LCM of Numerators as per given numbers 665/202, 381/142, 512/317 is

LCM of Numerators i.e. for 665,381,512 is 129722880

GCF of denominators i.e. for 202,142,317 is 1.

Thus, LCM of Fractions is 129722880.Finally, LCM of Fractions for 665/202, 381/142, 512/317 is 129722880.