Least Common Multiple of 426/561, 757/250, 201/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/561, 757/250, 201/822 quickly i.e. 21606294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/561, 757/250, 201/822 is 21606294.

LCM(426/561, 757/250, 201/822) = 21606294

LCM of 426/561, 757/250, 201/822

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 426/561,757/250,201/822

Given numbers are 426/561,757/250,201/822

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 426,757,201

Least Common Multiple of Numerators i.e. LCM of 426,757,201 is 21606294.

GCF of Denominators means GCF of 561,250,822 as per the given fractions.

GCF of 561,250,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,757,201

LCM of Fractions 426/561,757/250,201/822 is 21606294

3 426, 757, 201
142, 757, 67

∴ So the LCM of the given numbers is 3 x 142 x 757 x 67 = 21606294

Least Common Multiple of 426,757,201 with GCF Formula

Least Common Multiple of 426,757,201 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 426,757,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,757,201) = 1

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

GCF(426,757,201) x common factors =1 x 3 = 3

LCM(426,757,201) = ( 426 × 757 × 201 ) / 3

LCM(426,757,201) = 64818882 / 3

LCM(426,757,201) = 21606294


Lets's calculate GCF of 561,250,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21606294/1

Therefore the LCM of Fractions 426/561,757/250,201/822 is 21606294

Greatest Common Factor of 561,250,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,250,822 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 561,250,822 . The biggest common factor number is the GCF number.
So the greatest common factor 561,250,822 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 426/561, 757/250, 201/822

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 426/561, 757/250, 201/822?

Answer: LCM of Numerators as per given numbers 426/561, 757/250, 201/822 is

LCM of Numerators i.e. for 426,757,201 is 21606294

GCF of denominators i.e. for 561,250,822 is 1.

Thus, LCM of Fractions is 21606294.Finally, LCM of Fractions for 426/561, 757/250, 201/822 is 21606294.