Least Common Multiple of 75/661, 66/884, 865/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/661, 66/884, 865/176 quickly i.e. 285450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/661, 66/884, 865/176 is 285450.

LCM(75/661, 66/884, 865/176) = 285450

LCM of 75/661, 66/884, 865/176

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 75/661,66/884,865/176

Given numbers are 75/661,66/884,865/176

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 75,66,865

Least Common Multiple of Numerators i.e. LCM of 75,66,865 is 285450.

GCF of Denominators means GCF of 661,884,176 as per the given fractions.

GCF of 661,884,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,66,865

LCM of Fractions 75/661,66/884,865/176 is 285450

3 75, 66, 865
5 25, 22, 865
5, 22, 173

∴ So the LCM of the given numbers is 3 x 5 x 5 x 22 x 173 = 285450

Least Common Multiple of 75,66,865 with GCF Formula

Least Common Multiple of 75,66,865 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 75,66,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,66,865) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,66,865) x common factors =1 x 15 = 15

LCM(75,66,865) = ( 75 × 66 × 865 ) / 15

LCM(75,66,865) = 4281750 / 15

LCM(75,66,865) = 285450


Lets's calculate GCF of 661,884,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285450/1

Therefore the LCM of Fractions 75/661,66/884,865/176 is 285450

Greatest Common Factor of 661,884,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,884,176 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 661,884,176 . The biggest common factor number is the GCF number.
So the greatest common factor 661,884,176 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 75/661, 66/884, 865/176

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 75/661, 66/884, 865/176?

Answer: LCM of Numerators as per given numbers 75/661, 66/884, 865/176 is

LCM of Numerators i.e. for 75,66,865 is 285450

GCF of denominators i.e. for 661,884,176 is 1.

Thus, LCM of Fractions is 285450.Finally, LCM of Fractions for 75/661, 66/884, 865/176 is 285450.