Least Common Multiple of 15/247, 74/617, 451/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/247, 74/617, 451/436 quickly i.e. 500610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/247, 74/617, 451/436 is 500610.

LCM(15/247, 74/617, 451/436) = 500610

LCM of 15/247, 74/617, 451/436

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 15/247,74/617,451/436

Given numbers are 15/247,74/617,451/436

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 15,74,451

Least Common Multiple of Numerators i.e. LCM of 15,74,451 is 500610.

GCF of Denominators means GCF of 247,617,436 as per the given fractions.

GCF of 247,617,436 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,74,451

LCM of Fractions 15/247,74/617,451/436 is 500610

Given numbers has no common factors except 1. So, there LCM is their product i.e 500610

Least Common Multiple of 15,74,451 with GCF Formula

Least Common Multiple of 15,74,451 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 15,74,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,74,451) = 1

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

GCF(15,74,451) x common factors =1 x 1 = 1

LCM(15,74,451) = ( 15 × 74 × 451 ) / 1

LCM(15,74,451) = 500610 / 1

LCM(15,74,451) = 500610


Lets's calculate GCF of 247,617,436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500610/1

Therefore the LCM of Fractions 15/247,74/617,451/436 is 500610

Greatest Common Factor of 247,617,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,617,436 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 247,617,436 . The biggest common factor number is the GCF number.
So the greatest common factor 247,617,436 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/247, 74/617, 451/436

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 15/247, 74/617, 451/436?

Answer: LCM of Numerators as per given numbers 15/247, 74/617, 451/436 is

LCM of Numerators i.e. for 15,74,451 is 500610

GCF of denominators i.e. for 247,617,436 is 1.

Thus, LCM of Fractions is 500610.Finally, LCM of Fractions for 15/247, 74/617, 451/436 is 500610.