Least Common Multiple of 474/32, 816/9877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 474/32, 816/9877 quickly i.e. 64464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/32, 816/9877 is 64464.

LCM(474/32, 816/9877) = 64464

LCM of 474/32, 816/9877

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 474/32,816/9877

Given numbers are 474/32,816/9877

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 474,816

Least Common Multiple of Numerators i.e. LCM of 474,816 is 64464.

GCF of Denominators means GCF of 32,9877 as per the given fractions.

GCF of 32,9877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,816

LCM of Fractions 474/32,816/9877 is 64464

2 474, 816
3 237, 408
79, 136

∴ So the LCM of the given numbers is 2 x 3 x 79 x 136 = 64464

Least Common Multiple of 474,816 with GCF Formula

Least Common Multiple of 474,816 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 474,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,816) = 6

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

GCF(474,816) x common factors =6 x 1 = 6

LCM(474,816) = ( 474 × 816 ) / 6

LCM(474,816) = 386784 / 6

LCM(474,816) = 64464


Lets's calculate GCF of 32,9877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64464/1

Therefore the LCM of Fractions 474/32,816/9877 is 64464

Greatest Common Factor of 32,9877 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9877 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1,7,17,83,119,581,1411,9877

Greatest Common Factor

We found the factors 32,9877 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9877 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 474/32, 816/9877

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 474/32, 816/9877?

Answer: LCM of Numerators as per given numbers 474/32, 816/9877 is

LCM of Numerators i.e. for 474,816 is 64464

GCF of denominators i.e. for 32,9877 is 1.

Thus, LCM of Fractions is 64464.Finally, LCM of Fractions for 474/32, 816/9877 is 64464.