Least Common Multiple of 822/201, 794/607, 706/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/201, 794/607, 706/642 quickly i.e. 115195902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/201, 794/607, 706/642 is 115195902.

LCM(822/201, 794/607, 706/642) = 115195902

LCM of 822/201, 794/607, 706/642

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 822/201,794/607,706/642

Given numbers are 822/201,794/607,706/642

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 822,794,706

Least Common Multiple of Numerators i.e. LCM of 822,794,706 is 115195902.

GCF of Denominators means GCF of 201,607,642 as per the given fractions.

GCF of 201,607,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,794,706

LCM of Fractions 822/201,794/607,706/642 is 115195902

2 822, 794, 706
411, 397, 353

∴ So the LCM of the given numbers is 2 x 411 x 397 x 353 = 115195902

Least Common Multiple of 822,794,706 with GCF Formula

Least Common Multiple of 822,794,706 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 822,794,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,794,706) = 2

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

GCF(822,794,706) x common factors =2 x 2 = 4

LCM(822,794,706) = ( 822 × 794 × 706 ) / 4

LCM(822,794,706) = 460783608 / 4

LCM(822,794,706) = 115195902


Lets's calculate GCF of 201,607,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115195902/1

Therefore the LCM of Fractions 822/201,794/607,706/642 is 115195902

Greatest Common Factor of 201,607,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,607,642 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 201,607,642 . The biggest common factor number is the GCF number.
So the greatest common factor 201,607,642 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 822/201, 794/607, 706/642

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 822/201, 794/607, 706/642?

Answer: LCM of Numerators as per given numbers 822/201, 794/607, 706/642 is

LCM of Numerators i.e. for 822,794,706 is 115195902

GCF of denominators i.e. for 201,607,642 is 1.

Thus, LCM of Fractions is 115195902.Finally, LCM of Fractions for 822/201, 794/607, 706/642 is 115195902.