Least Common Multiple of 384/152, 284/891, 280/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/152, 284/891, 280/569 quickly i.e. 954240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/152, 284/891, 280/569 is 954240.

LCM(384/152, 284/891, 280/569) = 954240

LCM of 384/152, 284/891, 280/569

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 384/152,284/891,280/569

Given numbers are 384/152,284/891,280/569

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 384,284,280

Least Common Multiple of Numerators i.e. LCM of 384,284,280 is 954240.

GCF of Denominators means GCF of 152,891,569 as per the given fractions.

GCF of 152,891,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,284,280

LCM of Fractions 384/152,284/891,280/569 is 954240

2 384, 284, 280
2 192, 142, 140
2 96, 71, 70
48, 71, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 48 x 71 x 35 = 954240

Least Common Multiple of 384,284,280 with GCF Formula

Least Common Multiple of 384,284,280 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 384,284,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,284,280) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(384,284,280) x common factors =4 x 8 = 32

LCM(384,284,280) = ( 384 × 284 × 280 ) / 32

LCM(384,284,280) = 30535680 / 32

LCM(384,284,280) = 954240


Lets's calculate GCF of 152,891,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954240/1

Therefore the LCM of Fractions 384/152,284/891,280/569 is 954240

Greatest Common Factor of 152,891,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,891,569 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 152,891,569 . The biggest common factor number is the GCF number.
So the greatest common factor 152,891,569 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 384/152, 284/891, 280/569

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 384/152, 284/891, 280/569?

Answer: LCM of Numerators as per given numbers 384/152, 284/891, 280/569 is

LCM of Numerators i.e. for 384,284,280 is 954240

GCF of denominators i.e. for 152,891,569 is 1.

Thus, LCM of Fractions is 954240.Finally, LCM of Fractions for 384/152, 284/891, 280/569 is 954240.