Least Common Multiple of 476/449, 185/746, 957/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/449, 185/746, 957/565 quickly i.e. 84273420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/449, 185/746, 957/565 is 84273420.

LCM(476/449, 185/746, 957/565) = 84273420

LCM of 476/449, 185/746, 957/565

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 476/449,185/746,957/565

Given numbers are 476/449,185/746,957/565

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 476,185,957

Least Common Multiple of Numerators i.e. LCM of 476,185,957 is 84273420.

GCF of Denominators means GCF of 449,746,565 as per the given fractions.

GCF of 449,746,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,185,957

LCM of Fractions 476/449,185/746,957/565 is 84273420

Given numbers has no common factors except 1. So, there LCM is their product i.e 84273420

Least Common Multiple of 476,185,957 with GCF Formula

Least Common Multiple of 476,185,957 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 476,185,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,185,957) = 1

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

GCF(476,185,957) x common factors =1 x 1 = 1

LCM(476,185,957) = ( 476 × 185 × 957 ) / 1

LCM(476,185,957) = 84273420 / 1

LCM(476,185,957) = 84273420


Lets's calculate GCF of 449,746,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84273420/1

Therefore the LCM of Fractions 476/449,185/746,957/565 is 84273420

Greatest Common Factor of 449,746,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,746,565 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 449,746,565 . The biggest common factor number is the GCF number.
So the greatest common factor 449,746,565 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 476/449, 185/746, 957/565

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 476/449, 185/746, 957/565?

Answer: LCM of Numerators as per given numbers 476/449, 185/746, 957/565 is

LCM of Numerators i.e. for 476,185,957 is 84273420

GCF of denominators i.e. for 449,746,565 is 1.

Thus, LCM of Fractions is 84273420.Finally, LCM of Fractions for 476/449, 185/746, 957/565 is 84273420.