Least Common Multiple of 422/960, 251/661, 166/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/960, 251/661, 166/566 quickly i.e. 8791526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/960, 251/661, 166/566 is 8791526.

LCM(422/960, 251/661, 166/566) = 8791526

LCM of 422/960, 251/661, 166/566

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 422/960,251/661,166/566

Given numbers are 422/960,251/661,166/566

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 422,251,166

Least Common Multiple of Numerators i.e. LCM of 422,251,166 is 8791526.

GCF of Denominators means GCF of 960,661,566 as per the given fractions.

GCF of 960,661,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,251,166

LCM of Fractions 422/960,251/661,166/566 is 8791526

2 422, 251, 166
211, 251, 83

∴ So the LCM of the given numbers is 2 x 211 x 251 x 83 = 8791526

Least Common Multiple of 422,251,166 with GCF Formula

Least Common Multiple of 422,251,166 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 422,251,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,251,166) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(422,251,166) x common factors =1 x 2 = 2

LCM(422,251,166) = ( 422 × 251 × 166 ) / 2

LCM(422,251,166) = 17583052 / 2

LCM(422,251,166) = 8791526


Lets's calculate GCF of 960,661,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8791526/1

Therefore the LCM of Fractions 422/960,251/661,166/566 is 8791526

Greatest Common Factor of 960,661,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,661,566 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 661

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

1,661

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 960,661,566 . The biggest common factor number is the GCF number.
So the greatest common factor 960,661,566 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 422/960, 251/661, 166/566

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 422/960, 251/661, 166/566?

Answer: LCM of Numerators as per given numbers 422/960, 251/661, 166/566 is

LCM of Numerators i.e. for 422,251,166 is 8791526

GCF of denominators i.e. for 960,661,566 is 1.

Thus, LCM of Fractions is 8791526.Finally, LCM of Fractions for 422/960, 251/661, 166/566 is 8791526.