Least Common Multiple of 91/497, 98/282, 494/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/497, 98/282, 494/412 quickly i.e. 24206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/497, 98/282, 494/412 is 24206.

LCM(91/497, 98/282, 494/412) = 24206

LCM of 91/497, 98/282, 494/412

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 91/497,98/282,494/412

Given numbers are 91/497,98/282,494/412

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 91,98,494

Least Common Multiple of Numerators i.e. LCM of 91,98,494 is 24206.

GCF of Denominators means GCF of 497,282,412 as per the given fractions.

GCF of 497,282,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,98,494

LCM of Fractions 91/497,98/282,494/412 is 24206

2 91, 98, 494
7 91, 49, 247
13 13, 7, 247
1, 7, 19

∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 7 x 19 = 24206

Least Common Multiple of 91,98,494 with GCF Formula

Least Common Multiple of 91,98,494 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 91,98,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,98,494) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(91,98,494) x common factors =1 x 182 = 182

LCM(91,98,494) = ( 91 × 98 × 494 ) / 182

LCM(91,98,494) = 4405492 / 182

LCM(91,98,494) = 24206


Lets's calculate GCF of 497,282,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24206/1

Therefore the LCM of Fractions 91/497,98/282,494/412 is 24206

Greatest Common Factor of 497,282,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,282,412 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 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 497,282,412 . The biggest common factor number is the GCF number.
So the greatest common factor 497,282,412 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 91/497, 98/282, 494/412

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 91/497, 98/282, 494/412?

Answer: LCM of Numerators as per given numbers 91/497, 98/282, 494/412 is

LCM of Numerators i.e. for 91,98,494 is 24206

GCF of denominators i.e. for 497,282,412 is 1.

Thus, LCM of Fractions is 24206.Finally, LCM of Fractions for 91/497, 98/282, 494/412 is 24206.