Least Common Multiple of 26/266, 83/724, 490/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/266, 83/724, 490/346 quickly i.e. 264355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/266, 83/724, 490/346 is 264355.

LCM(26/266, 83/724, 490/346) = 264355

LCM of 26/266, 83/724, 490/346

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 26/266,83/724,490/346

Given numbers are 26/266,83/724,490/346

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 26,83,490

Least Common Multiple of Numerators i.e. LCM of 26,83,490 is 528710.

GCF of Denominators means GCF of 266,724,346 as per the given fractions.

GCF of 266,724,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,83,490

LCM of Fractions 26/266,83/724,490/346 is 264355

2 26, 83, 490
13, 83, 245

∴ So the LCM of the given numbers is 2 x 13 x 83 x 245 = 528710

Least Common Multiple of 26,83,490 with GCF Formula

Least Common Multiple of 26,83,490 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 26,83,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,83,490) = 1

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

GCF(26,83,490) x common factors =1 x 2 = 2

LCM(26,83,490) = ( 26 × 83 × 490 ) / 2

LCM(26,83,490) = 1057420 / 2

LCM(26,83,490) = 528710


Lets's calculate GCF of 266,724,346

2 266, 724, 346
133, 362, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528710/2

Therefore the LCM of Fractions 26/266,83/724,490/346 is 264355

Greatest Common Factor of 266,724,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,724,346 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 266,724,346 . The biggest common factor number is the GCF number.
So the greatest common factor 266,724,346 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 26/266, 83/724, 490/346

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 26/266, 83/724, 490/346?

Answer: LCM of Numerators as per given numbers 26/266, 83/724, 490/346 is

LCM of Numerators i.e. for 26,83,490 is 528710

GCF of denominators i.e. for 266,724,346 is 2.

Thus, LCM of Fractions is 264355.Finally, LCM of Fractions for 26/266, 83/724, 490/346 is 264355.