Least Common Multiple of 764/636, 526/904, 904/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/636, 526/904, 904/822 quickly i.e. 22705316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/636, 526/904, 904/822 is 22705316.

LCM(764/636, 526/904, 904/822) = 22705316

LCM of 764/636, 526/904, 904/822

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 764/636,526/904,904/822

Given numbers are 764/636,526/904,904/822

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 764,526,904

Least Common Multiple of Numerators i.e. LCM of 764,526,904 is 45410632.

GCF of Denominators means GCF of 636,904,822 as per the given fractions.

GCF of 636,904,822 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,526,904

LCM of Fractions 764/636,526/904,904/822 is 22705316

2 764, 526, 904
2 382, 263, 452
191, 263, 226

∴ So the LCM of the given numbers is 2 x 2 x 191 x 263 x 226 = 45410632

Least Common Multiple of 764,526,904 with GCF Formula

Least Common Multiple of 764,526,904 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 764,526,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,526,904) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(764,526,904) x common factors =2 x 4 = 8

LCM(764,526,904) = ( 764 × 526 × 904 ) / 8

LCM(764,526,904) = 363285056 / 8

LCM(764,526,904) = 45410632


Lets's calculate GCF of 636,904,822

2 636, 904, 822
318, 452, 411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45410632/2

Therefore the LCM of Fractions 764/636,526/904,904/822 is 22705316

Greatest Common Factor of 636,904,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,904,822 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

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 636,904,822 . The biggest common factor number is the GCF number.
So the greatest common factor 636,904,822 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 764/636, 526/904, 904/822

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 764/636, 526/904, 904/822?

Answer: LCM of Numerators as per given numbers 764/636, 526/904, 904/822 is

LCM of Numerators i.e. for 764,526,904 is 45410632

GCF of denominators i.e. for 636,904,822 is 2.

Thus, LCM of Fractions is 22705316.Finally, LCM of Fractions for 764/636, 526/904, 904/822 is 22705316.