Least Common Multiple of 15/994, 284/710, 254/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/994, 284/710, 254/327 quickly i.e. 541020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/994, 284/710, 254/327 is 541020.

LCM(15/994, 284/710, 254/327) = 541020

LCM of 15/994, 284/710, 254/327

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 15/994,284/710,254/327

Given numbers are 15/994,284/710,254/327

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 15,284,254

Least Common Multiple of Numerators i.e. LCM of 15,284,254 is 541020.

GCF of Denominators means GCF of 994,710,327 as per the given fractions.

GCF of 994,710,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,284,254

LCM of Fractions 15/994,284/710,254/327 is 541020

2 15, 284, 254
15, 142, 127

∴ So the LCM of the given numbers is 2 x 15 x 142 x 127 = 541020

Least Common Multiple of 15,284,254 with GCF Formula

Least Common Multiple of 15,284,254 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 15,284,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,284,254) = 1

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

GCF(15,284,254) x common factors =1 x 2 = 2

LCM(15,284,254) = ( 15 × 284 × 254 ) / 2

LCM(15,284,254) = 1082040 / 2

LCM(15,284,254) = 541020


Lets's calculate GCF of 994,710,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541020/1

Therefore the LCM of Fractions 15/994,284/710,254/327 is 541020

Greatest Common Factor of 994,710,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,710,327 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 994,710,327 . The biggest common factor number is the GCF number.
So the greatest common factor 994,710,327 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/994, 284/710, 254/327

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 15/994, 284/710, 254/327?

Answer: LCM of Numerators as per given numbers 15/994, 284/710, 254/327 is

LCM of Numerators i.e. for 15,284,254 is 541020

GCF of denominators i.e. for 994,710,327 is 1.

Thus, LCM of Fractions is 541020.Finally, LCM of Fractions for 15/994, 284/710, 254/327 is 541020.