Least Common Multiple of 144/463, 912/406, 938/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/463, 912/406, 938/921 quickly i.e. 1283184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/463, 912/406, 938/921 is 1283184.

LCM(144/463, 912/406, 938/921) = 1283184

LCM of 144/463, 912/406, 938/921

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 144/463,912/406,938/921

Given numbers are 144/463,912/406,938/921

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 144,912,938

Least Common Multiple of Numerators i.e. LCM of 144,912,938 is 1283184.

GCF of Denominators means GCF of 463,406,921 as per the given fractions.

GCF of 463,406,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,912,938

LCM of Fractions 144/463,912/406,938/921 is 1283184

2 144, 912, 938
2 72, 456, 469
2 36, 228, 469
2 18, 114, 469
3 9, 57, 469
3, 19, 469

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 19 x 469 = 1283184

Least Common Multiple of 144,912,938 with GCF Formula

Least Common Multiple of 144,912,938 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 144,912,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,912,938) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(144,912,938) x common factors =2 x 48 = 96

LCM(144,912,938) = ( 144 × 912 × 938 ) / 96

LCM(144,912,938) = 123185664 / 96

LCM(144,912,938) = 1283184


Lets's calculate GCF of 463,406,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1283184/1

Therefore the LCM of Fractions 144/463,912/406,938/921 is 1283184

Greatest Common Factor of 463,406,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,406,921 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 463,406,921 . The biggest common factor number is the GCF number.
So the greatest common factor 463,406,921 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 144/463, 912/406, 938/921

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 144/463, 912/406, 938/921?

Answer: LCM of Numerators as per given numbers 144/463, 912/406, 938/921 is

LCM of Numerators i.e. for 144,912,938 is 1283184

GCF of denominators i.e. for 463,406,921 is 1.

Thus, LCM of Fractions is 1283184.Finally, LCM of Fractions for 144/463, 912/406, 938/921 is 1283184.