Least Common Multiple of 461/93, 201/32, 324/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/93, 201/32, 324/776 quickly i.e. 10007388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/93, 201/32, 324/776 is 10007388.

LCM(461/93, 201/32, 324/776) = 10007388

LCM of 461/93, 201/32, 324/776

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 461/93,201/32,324/776

Given numbers are 461/93,201/32,324/776

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 461,201,324

Least Common Multiple of Numerators i.e. LCM of 461,201,324 is 10007388.

GCF of Denominators means GCF of 93,32,776 as per the given fractions.

GCF of 93,32,776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,201,324

LCM of Fractions 461/93,201/32,324/776 is 10007388

3 461, 201, 324
461, 67, 108

∴ So the LCM of the given numbers is 3 x 461 x 67 x 108 = 10007388

Least Common Multiple of 461,201,324 with GCF Formula

Least Common Multiple of 461,201,324 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 461,201,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,201,324) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(461,201,324) x common factors =1 x 3 = 3

LCM(461,201,324) = ( 461 × 201 × 324 ) / 3

LCM(461,201,324) = 30022164 / 3

LCM(461,201,324) = 10007388


Lets's calculate GCF of 93,32,776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10007388/1

Therefore the LCM of Fractions 461/93,201/32,324/776 is 10007388

Greatest Common Factor of 93,32,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,32,776 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 32

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

1,2,4,8,16,32

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 93,32,776 . The biggest common factor number is the GCF number.
So the greatest common factor 93,32,776 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 461/93, 201/32, 324/776

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 461/93, 201/32, 324/776?

Answer: LCM of Numerators as per given numbers 461/93, 201/32, 324/776 is

LCM of Numerators i.e. for 461,201,324 is 10007388

GCF of denominators i.e. for 93,32,776 is 1.

Thus, LCM of Fractions is 10007388.Finally, LCM of Fractions for 461/93, 201/32, 324/776 is 10007388.