Least Common Multiple of 822/574, 279/677, 969/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/574, 279/677, 969/275 quickly i.e. 24692058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/574, 279/677, 969/275 is 24692058.

LCM(822/574, 279/677, 969/275) = 24692058

LCM of 822/574, 279/677, 969/275

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 822/574,279/677,969/275

Given numbers are 822/574,279/677,969/275

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 822,279,969

Least Common Multiple of Numerators i.e. LCM of 822,279,969 is 24692058.

GCF of Denominators means GCF of 574,677,275 as per the given fractions.

GCF of 574,677,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,279,969

LCM of Fractions 822/574,279/677,969/275 is 24692058

3 822, 279, 969
274, 93, 323

∴ So the LCM of the given numbers is 3 x 274 x 93 x 323 = 24692058

Least Common Multiple of 822,279,969 with GCF Formula

Least Common Multiple of 822,279,969 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 822,279,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,279,969) = 3

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

GCF(822,279,969) x common factors =3 x 3 = 9

LCM(822,279,969) = ( 822 × 279 × 969 ) / 9

LCM(822,279,969) = 222228522 / 9

LCM(822,279,969) = 24692058


Lets's calculate GCF of 574,677,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24692058/1

Therefore the LCM of Fractions 822/574,279/677,969/275 is 24692058

Greatest Common Factor of 574,677,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,677,275 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 574,677,275 . The biggest common factor number is the GCF number.
So the greatest common factor 574,677,275 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 822/574, 279/677, 969/275

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 822/574, 279/677, 969/275?

Answer: LCM of Numerators as per given numbers 822/574, 279/677, 969/275 is

LCM of Numerators i.e. for 822,279,969 is 24692058

GCF of denominators i.e. for 574,677,275 is 1.

Thus, LCM of Fractions is 24692058.Finally, LCM of Fractions for 822/574, 279/677, 969/275 is 24692058.