Least Common Multiple of 67/921, 13/644, 448/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/921, 13/644, 448/464 quickly i.e. 390208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/921, 13/644, 448/464 is 390208.

LCM(67/921, 13/644, 448/464) = 390208

LCM of 67/921, 13/644, 448/464

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 67/921,13/644,448/464

Given numbers are 67/921,13/644,448/464

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 67,13,448

Least Common Multiple of Numerators i.e. LCM of 67,13,448 is 390208.

GCF of Denominators means GCF of 921,644,464 as per the given fractions.

GCF of 921,644,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,13,448

LCM of Fractions 67/921,13/644,448/464 is 390208

Given numbers has no common factors except 1. So, there LCM is their product i.e 390208

Least Common Multiple of 67,13,448 with GCF Formula

Least Common Multiple of 67,13,448 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 67,13,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,13,448) = 1

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

GCF(67,13,448) x common factors =1 x 1 = 1

LCM(67,13,448) = ( 67 × 13 × 448 ) / 1

LCM(67,13,448) = 390208 / 1

LCM(67,13,448) = 390208


Lets's calculate GCF of 921,644,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390208/1

Therefore the LCM of Fractions 67/921,13/644,448/464 is 390208

Greatest Common Factor of 921,644,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,644,464 By Matching Biggest Common Factor Method

Factors of 921

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

1,3,307,921

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 921,644,464 . The biggest common factor number is the GCF number.
So the greatest common factor 921,644,464 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 67/921, 13/644, 448/464

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 67/921, 13/644, 448/464?

Answer: LCM of Numerators as per given numbers 67/921, 13/644, 448/464 is

LCM of Numerators i.e. for 67,13,448 is 390208

GCF of denominators i.e. for 921,644,464 is 1.

Thus, LCM of Fractions is 390208.Finally, LCM of Fractions for 67/921, 13/644, 448/464 is 390208.