Least Common Multiple of 26/808, 549/790, 219/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/808, 549/790, 219/609 quickly i.e. 1042002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/808, 549/790, 219/609 is 1042002.

LCM(26/808, 549/790, 219/609) = 1042002

LCM of 26/808, 549/790, 219/609

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 26/808,549/790,219/609

Given numbers are 26/808,549/790,219/609

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 26,549,219

Least Common Multiple of Numerators i.e. LCM of 26,549,219 is 1042002.

GCF of Denominators means GCF of 808,790,609 as per the given fractions.

GCF of 808,790,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,549,219

LCM of Fractions 26/808,549/790,219/609 is 1042002

3 26, 549, 219
26, 183, 73

∴ So the LCM of the given numbers is 3 x 26 x 183 x 73 = 1042002

Least Common Multiple of 26,549,219 with GCF Formula

Least Common Multiple of 26,549,219 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 26,549,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,549,219) = 1

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

GCF(26,549,219) x common factors =1 x 3 = 3

LCM(26,549,219) = ( 26 × 549 × 219 ) / 3

LCM(26,549,219) = 3126006 / 3

LCM(26,549,219) = 1042002


Lets's calculate GCF of 808,790,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1042002/1

Therefore the LCM of Fractions 26/808,549/790,219/609 is 1042002

Greatest Common Factor of 808,790,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,790,609 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 808,790,609 . The biggest common factor number is the GCF number.
So the greatest common factor 808,790,609 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/808, 549/790, 219/609

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 26/808, 549/790, 219/609?

Answer: LCM of Numerators as per given numbers 26/808, 549/790, 219/609 is

LCM of Numerators i.e. for 26,549,219 is 1042002

GCF of denominators i.e. for 808,790,609 is 1.

Thus, LCM of Fractions is 1042002.Finally, LCM of Fractions for 26/808, 549/790, 219/609 is 1042002.