Least Common Multiple of 21/437, 477/849, 679/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/437, 477/849, 679/862 quickly i.e. 323883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/437, 477/849, 679/862 is 323883.

LCM(21/437, 477/849, 679/862) = 323883

LCM of 21/437, 477/849, 679/862

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 21/437,477/849,679/862

Given numbers are 21/437,477/849,679/862

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 21,477,679

Least Common Multiple of Numerators i.e. LCM of 21,477,679 is 323883.

GCF of Denominators means GCF of 437,849,862 as per the given fractions.

GCF of 437,849,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,477,679

LCM of Fractions 21/437,477/849,679/862 is 323883

3 21, 477, 679
7 7, 159, 679
1, 159, 97

∴ So the LCM of the given numbers is 3 x 7 x 1 x 159 x 97 = 323883

Least Common Multiple of 21,477,679 with GCF Formula

Least Common Multiple of 21,477,679 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 21,477,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,477,679) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,477,679) x common factors =1 x 21 = 21

LCM(21,477,679) = ( 21 × 477 × 679 ) / 21

LCM(21,477,679) = 6801543 / 21

LCM(21,477,679) = 323883


Lets's calculate GCF of 437,849,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323883/1

Therefore the LCM of Fractions 21/437,477/849,679/862 is 323883

Greatest Common Factor of 437,849,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,849,862 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 437,849,862 . The biggest common factor number is the GCF number.
So the greatest common factor 437,849,862 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 21/437, 477/849, 679/862

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 21/437, 477/849, 679/862?

Answer: LCM of Numerators as per given numbers 21/437, 477/849, 679/862 is

LCM of Numerators i.e. for 21,477,679 is 323883

GCF of denominators i.e. for 437,849,862 is 1.

Thus, LCM of Fractions is 323883.Finally, LCM of Fractions for 21/437, 477/849, 679/862 is 323883.