Least Common Multiple of 526/848, 342/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 526/848, 342/494 quickly i.e. 44973 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/848, 342/494 is 44973.

LCM(526/848, 342/494) = 44973

LCM of 526/848, 342/494

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 526/848,342/494

Given numbers are 526/848,342/494

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 526,342

Least Common Multiple of Numerators i.e. LCM of 526,342 is 89946.

GCF of Denominators means GCF of 848,494 as per the given fractions.

GCF of 848,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,342

LCM of Fractions 526/848,342/494 is 44973

2 526, 342
263, 171

∴ So the LCM of the given numbers is 2 x 263 x 171 = 89946

Least Common Multiple of 526,342 with GCF Formula

Least Common Multiple of 526,342 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 526,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,342) = 2

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

GCF(526,342) x common factors =2 x 1 = 2

LCM(526,342) = ( 526 × 342 ) / 2

LCM(526,342) = 179892 / 2

LCM(526,342) = 89946


Lets's calculate GCF of 848,494

2 848, 494
424, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89946/2

Therefore the LCM of Fractions 526/848,342/494 is 44973

Greatest Common Factor of 848,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,494 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 848,494 . The biggest common factor number is the GCF number.
So the greatest common factor 848,494 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 526/848, 342/494

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 526/848, 342/494?

Answer: LCM of Numerators as per given numbers 526/848, 342/494 is

LCM of Numerators i.e. for 526,342 is 89946

GCF of denominators i.e. for 848,494 is 2.

Thus, LCM of Fractions is 44973.Finally, LCM of Fractions for 526/848, 342/494 is 44973.