Least Common Multiple of 26/890, 79/106, 290/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/890, 79/106, 290/906 quickly i.e. 148915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/890, 79/106, 290/906 is 148915.

LCM(26/890, 79/106, 290/906) = 148915

LCM of 26/890, 79/106, 290/906

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 26/890,79/106,290/906

Given numbers are 26/890,79/106,290/906

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 26,79,290

Least Common Multiple of Numerators i.e. LCM of 26,79,290 is 297830.

GCF of Denominators means GCF of 890,106,906 as per the given fractions.

GCF of 890,106,906 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,79,290

LCM of Fractions 26/890,79/106,290/906 is 148915

2 26, 79, 290
13, 79, 145

∴ So the LCM of the given numbers is 2 x 13 x 79 x 145 = 297830

Least Common Multiple of 26,79,290 with GCF Formula

Least Common Multiple of 26,79,290 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 26,79,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,79,290) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,79,290) x common factors =1 x 2 = 2

LCM(26,79,290) = ( 26 × 79 × 290 ) / 2

LCM(26,79,290) = 595660 / 2

LCM(26,79,290) = 297830


Lets's calculate GCF of 890,106,906

2 890, 106, 906
445, 53, 453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297830/2

Therefore the LCM of Fractions 26/890,79/106,290/906 is 148915

Greatest Common Factor of 890,106,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,106,906 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 890,106,906 . The biggest common factor number is the GCF number.
So the greatest common factor 890,106,906 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 26/890, 79/106, 290/906

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 26/890, 79/106, 290/906?

Answer: LCM of Numerators as per given numbers 26/890, 79/106, 290/906 is

LCM of Numerators i.e. for 26,79,290 is 297830

GCF of denominators i.e. for 890,106,906 is 2.

Thus, LCM of Fractions is 148915.Finally, LCM of Fractions for 26/890, 79/106, 290/906 is 148915.