Least Common Multiple of 348/521, 416/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 348/521, 416/494 quickly i.e. 36192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 348/521, 416/494 is 36192.

LCM(348/521, 416/494) = 36192

LCM of 348/521, 416/494

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 348/521,416/494

Given numbers are 348/521,416/494

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 348,416

Least Common Multiple of Numerators i.e. LCM of 348,416 is 36192.

GCF of Denominators means GCF of 521,494 as per the given fractions.

GCF of 521,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 348,416

LCM of Fractions 348/521,416/494 is 36192

2 348, 416
2 174, 208
87, 104

∴ So the LCM of the given numbers is 2 x 2 x 87 x 104 = 36192

Least Common Multiple of 348,416 with GCF Formula

Least Common Multiple of 348,416 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 348,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,416) = 4

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

GCF(348,416) x common factors =4 x 1 = 4

LCM(348,416) = ( 348 × 416 ) / 4

LCM(348,416) = 144768 / 4

LCM(348,416) = 36192


Lets's calculate GCF of 521,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36192/1

Therefore the LCM of Fractions 348/521,416/494 is 36192

Greatest Common Factor of 521,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 521,494 By Matching Biggest Common Factor Method

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

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 521,494 . The biggest common factor number is the GCF number.
So the greatest common factor 521,494 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 348/521, 416/494

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 348/521, 416/494?

Answer: LCM of Numerators as per given numbers 348/521, 416/494 is

LCM of Numerators i.e. for 348,416 is 36192

GCF of denominators i.e. for 521,494 is 1.

Thus, LCM of Fractions is 36192.Finally, LCM of Fractions for 348/521, 416/494 is 36192.