Least Common Multiple of 363/213, 446/268, 982/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/213, 446/268, 982/448 quickly i.e. 79491918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/213, 446/268, 982/448 is 79491918.

LCM(363/213, 446/268, 982/448) = 79491918

LCM of 363/213, 446/268, 982/448

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 363/213,446/268,982/448

Given numbers are 363/213,446/268,982/448

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 363,446,982

Least Common Multiple of Numerators i.e. LCM of 363,446,982 is 79491918.

GCF of Denominators means GCF of 213,268,448 as per the given fractions.

GCF of 213,268,448 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,446,982

LCM of Fractions 363/213,446/268,982/448 is 79491918

2 363, 446, 982
363, 223, 491

∴ So the LCM of the given numbers is 2 x 363 x 223 x 491 = 79491918

Least Common Multiple of 363,446,982 with GCF Formula

Least Common Multiple of 363,446,982 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 363,446,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,446,982) = 1

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

GCF(363,446,982) x common factors =1 x 2 = 2

LCM(363,446,982) = ( 363 × 446 × 982 ) / 2

LCM(363,446,982) = 158983836 / 2

LCM(363,446,982) = 79491918


Lets's calculate GCF of 213,268,448

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79491918/1

Therefore the LCM of Fractions 363/213,446/268,982/448 is 79491918

Greatest Common Factor of 213,268,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,268,448 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 213,268,448 . The biggest common factor number is the GCF number.
So the greatest common factor 213,268,448 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 363/213, 446/268, 982/448

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 363/213, 446/268, 982/448?

Answer: LCM of Numerators as per given numbers 363/213, 446/268, 982/448 is

LCM of Numerators i.e. for 363,446,982 is 79491918

GCF of denominators i.e. for 213,268,448 is 1.

Thus, LCM of Fractions is 79491918.Finally, LCM of Fractions for 363/213, 446/268, 982/448 is 79491918.