Least Common Multiple of 26/497, 4258/7412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/497, 4258/7412 quickly i.e. 55354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/497, 4258/7412 is 55354.

LCM(26/497, 4258/7412) = 55354

LCM of 26/497, 4258/7412

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 26/497,4258/7412

Given numbers are 26/497,4258/7412

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 26,4258

Least Common Multiple of Numerators i.e. LCM of 26,4258 is 55354.

GCF of Denominators means GCF of 497,7412 as per the given fractions.

GCF of 497,7412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,4258

LCM of Fractions 26/497,4258/7412 is 55354

2 26, 4258
13, 2129

∴ So the LCM of the given numbers is 2 x 13 x 2129 = 55354

Least Common Multiple of 26,4258 with GCF Formula

Least Common Multiple of 26,4258 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 26,4258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,4258) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(26,4258) x common factors =2 x 1 = 2

LCM(26,4258) = ( 26 × 4258 ) / 2

LCM(26,4258) = 110708 / 2

LCM(26,4258) = 55354


Lets's calculate GCF of 497,7412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55354/1

Therefore the LCM of Fractions 26/497,4258/7412 is 55354

Greatest Common Factor of 497,7412 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,7412 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Greatest Common Factor

We found the factors 497,7412 . The biggest common factor number is the GCF number.
So the greatest common factor 497,7412 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 26/497, 4258/7412

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 26/497, 4258/7412?

Answer: LCM of Numerators as per given numbers 26/497, 4258/7412 is

LCM of Numerators i.e. for 26,4258 is 55354

GCF of denominators i.e. for 497,7412 is 1.

Thus, LCM of Fractions is 55354.Finally, LCM of Fractions for 26/497, 4258/7412 is 55354.