Least Common Multiple of 494/411, 948/377, 612/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/411, 948/377, 612/922 quickly i.e. 11941956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/411, 948/377, 612/922 is 11941956.

LCM(494/411, 948/377, 612/922) = 11941956

LCM of 494/411, 948/377, 612/922

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 494/411,948/377,612/922

Given numbers are 494/411,948/377,612/922

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 494,948,612

Least Common Multiple of Numerators i.e. LCM of 494,948,612 is 11941956.

GCF of Denominators means GCF of 411,377,922 as per the given fractions.

GCF of 411,377,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,948,612

LCM of Fractions 494/411,948/377,612/922 is 11941956

2 494, 948, 612
2 247, 474, 306
3 247, 237, 153
247, 79, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 247 x 79 x 51 = 11941956

Least Common Multiple of 494,948,612 with GCF Formula

Least Common Multiple of 494,948,612 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 494,948,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,948,612) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(494,948,612) x common factors =2 x 12 = 24

LCM(494,948,612) = ( 494 × 948 × 612 ) / 24

LCM(494,948,612) = 286606944 / 24

LCM(494,948,612) = 11941956


Lets's calculate GCF of 411,377,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11941956/1

Therefore the LCM of Fractions 494/411,948/377,612/922 is 11941956

Greatest Common Factor of 411,377,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,377,922 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 411,377,922 . The biggest common factor number is the GCF number.
So the greatest common factor 411,377,922 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 494/411, 948/377, 612/922

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 494/411, 948/377, 612/922?

Answer: LCM of Numerators as per given numbers 494/411, 948/377, 612/922 is

LCM of Numerators i.e. for 494,948,612 is 11941956

GCF of denominators i.e. for 411,377,922 is 1.

Thus, LCM of Fractions is 11941956.Finally, LCM of Fractions for 494/411, 948/377, 612/922 is 11941956.