Least Common Multiple of 404/65, 872/24, 628/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/65, 872/24, 628/977 quickly i.e. 13827304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/65, 872/24, 628/977 is 13827304.

LCM(404/65, 872/24, 628/977) = 13827304

LCM of 404/65, 872/24, 628/977

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 404/65,872/24,628/977

Given numbers are 404/65,872/24,628/977

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 404,872,628

Least Common Multiple of Numerators i.e. LCM of 404,872,628 is 13827304.

GCF of Denominators means GCF of 65,24,977 as per the given fractions.

GCF of 65,24,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,872,628

LCM of Fractions 404/65,872/24,628/977 is 13827304

2 404, 872, 628
2 202, 436, 314
101, 218, 157

∴ So the LCM of the given numbers is 2 x 2 x 101 x 218 x 157 = 13827304

Least Common Multiple of 404,872,628 with GCF Formula

Least Common Multiple of 404,872,628 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 404,872,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,872,628) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(404,872,628) x common factors =4 x 4 = 16

LCM(404,872,628) = ( 404 × 872 × 628 ) / 16

LCM(404,872,628) = 221236864 / 16

LCM(404,872,628) = 13827304


Lets's calculate GCF of 65,24,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13827304/1

Therefore the LCM of Fractions 404/65,872/24,628/977 is 13827304

Greatest Common Factor of 65,24,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,24,977 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 65,24,977 . The biggest common factor number is the GCF number.
So the greatest common factor 65,24,977 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 404/65, 872/24, 628/977

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 404/65, 872/24, 628/977?

Answer: LCM of Numerators as per given numbers 404/65, 872/24, 628/977 is

LCM of Numerators i.e. for 404,872,628 is 13827304

GCF of denominators i.e. for 65,24,977 is 1.

Thus, LCM of Fractions is 13827304.Finally, LCM of Fractions for 404/65, 872/24, 628/977 is 13827304.