Least Common Multiple of 279/74, 260/19, 897/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 279/74, 260/19, 897/637 quickly i.e. 1668420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 279/74, 260/19, 897/637 is 1668420.

LCM(279/74, 260/19, 897/637) = 1668420

LCM of 279/74, 260/19, 897/637

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 279/74,260/19,897/637

Given numbers are 279/74,260/19,897/637

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 279,260,897

Least Common Multiple of Numerators i.e. LCM of 279,260,897 is 1668420.

GCF of Denominators means GCF of 74,19,637 as per the given fractions.

GCF of 74,19,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 279,260,897

LCM of Fractions 279/74,260/19,897/637 is 1668420

3 279, 260, 897
13 93, 260, 299
93, 20, 23

∴ So the LCM of the given numbers is 3 x 13 x 93 x 20 x 23 = 1668420

Least Common Multiple of 279,260,897 with GCF Formula

Least Common Multiple of 279,260,897 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 279,260,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,260,897) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(279,260,897) x common factors =1 x 39 = 39

LCM(279,260,897) = ( 279 × 260 × 897 ) / 39

LCM(279,260,897) = 65068380 / 39

LCM(279,260,897) = 1668420


Lets's calculate GCF of 74,19,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1668420/1

Therefore the LCM of Fractions 279/74,260/19,897/637 is 1668420

Greatest Common Factor of 74,19,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,19,637 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 74,19,637 . The biggest common factor number is the GCF number.
So the greatest common factor 74,19,637 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 279/74, 260/19, 897/637

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 279/74, 260/19, 897/637?

Answer: LCM of Numerators as per given numbers 279/74, 260/19, 897/637 is

LCM of Numerators i.e. for 279,260,897 is 1668420

GCF of denominators i.e. for 74,19,637 is 1.

Thus, LCM of Fractions is 1668420.Finally, LCM of Fractions for 279/74, 260/19, 897/637 is 1668420.