Least Common Multiple of 66/426, 975/170, 561/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/426, 975/170, 561/502 quickly i.e. 182325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/426, 975/170, 561/502 is 182325.

LCM(66/426, 975/170, 561/502) = 182325

LCM of 66/426, 975/170, 561/502

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 66/426,975/170,561/502

Given numbers are 66/426,975/170,561/502

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 66,975,561

Least Common Multiple of Numerators i.e. LCM of 66,975,561 is 364650.

GCF of Denominators means GCF of 426,170,502 as per the given fractions.

GCF of 426,170,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,975,561

LCM of Fractions 66/426,975/170,561/502 is 182325

3 66, 975, 561
11 22, 325, 187
2, 325, 17

∴ So the LCM of the given numbers is 3 x 11 x 2 x 325 x 17 = 364650

Least Common Multiple of 66,975,561 with GCF Formula

Least Common Multiple of 66,975,561 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 66,975,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,975,561) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(66,975,561) x common factors =3 x 33 = 99

LCM(66,975,561) = ( 66 × 975 × 561 ) / 99

LCM(66,975,561) = 36100350 / 99

LCM(66,975,561) = 364650


Lets's calculate GCF of 426,170,502

2 426, 170, 502
213, 85, 251

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364650/2

Therefore the LCM of Fractions 66/426,975/170,561/502 is 182325

Greatest Common Factor of 426,170,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,170,502 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 426,170,502 . The biggest common factor number is the GCF number.
So the greatest common factor 426,170,502 is 2.


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 66/426, 975/170, 561/502

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 66/426, 975/170, 561/502?

Answer: LCM of Numerators as per given numbers 66/426, 975/170, 561/502 is

LCM of Numerators i.e. for 66,975,561 is 364650

GCF of denominators i.e. for 426,170,502 is 2.

Thus, LCM of Fractions is 182325.Finally, LCM of Fractions for 66/426, 975/170, 561/502 is 182325.