Least Common Multiple of 66/466, 113/89, 864/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/466, 113/89, 864/916 quickly i.e. 1073952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/466, 113/89, 864/916 is 1073952.

LCM(66/466, 113/89, 864/916) = 1073952

LCM of 66/466, 113/89, 864/916

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 66/466,113/89,864/916

Given numbers are 66/466,113/89,864/916

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 66,113,864

Least Common Multiple of Numerators i.e. LCM of 66,113,864 is 1073952.

GCF of Denominators means GCF of 466,89,916 as per the given fractions.

GCF of 466,89,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,113,864

LCM of Fractions 66/466,113/89,864/916 is 1073952

2 66, 113, 864
3 33, 113, 432
11, 113, 144

∴ So the LCM of the given numbers is 2 x 3 x 11 x 113 x 144 = 1073952

Least Common Multiple of 66,113,864 with GCF Formula

Least Common Multiple of 66,113,864 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 66,113,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,113,864) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,113,864) x common factors =1 x 6 = 6

LCM(66,113,864) = ( 66 × 113 × 864 ) / 6

LCM(66,113,864) = 6443712 / 6

LCM(66,113,864) = 1073952


Lets's calculate GCF of 466,89,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1073952/1

Therefore the LCM of Fractions 66/466,113/89,864/916 is 1073952

Greatest Common Factor of 466,89,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,89,916 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 466,89,916 . The biggest common factor number is the GCF number.
So the greatest common factor 466,89,916 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 66/466, 113/89, 864/916

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 66/466, 113/89, 864/916?

Answer: LCM of Numerators as per given numbers 66/466, 113/89, 864/916 is

LCM of Numerators i.e. for 66,113,864 is 1073952

GCF of denominators i.e. for 466,89,916 is 1.

Thus, LCM of Fractions is 1073952.Finally, LCM of Fractions for 66/466, 113/89, 864/916 is 1073952.