Least Common Multiple of 24/553, 79/269, 678/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/553, 79/269, 678/154 quickly i.e. 214248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/553, 79/269, 678/154 is 214248.

LCM(24/553, 79/269, 678/154) = 214248

LCM of 24/553, 79/269, 678/154

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 24/553,79/269,678/154

Given numbers are 24/553,79/269,678/154

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 24,79,678

Least Common Multiple of Numerators i.e. LCM of 24,79,678 is 214248.

GCF of Denominators means GCF of 553,269,154 as per the given fractions.

GCF of 553,269,154 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,79,678

LCM of Fractions 24/553,79/269,678/154 is 214248

2 24, 79, 678
3 12, 79, 339
4, 79, 113

∴ So the LCM of the given numbers is 2 x 3 x 4 x 79 x 113 = 214248

Least Common Multiple of 24,79,678 with GCF Formula

Least Common Multiple of 24,79,678 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 24,79,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,79,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(24,79,678) x common factors =1 x 6 = 6

LCM(24,79,678) = ( 24 × 79 × 678 ) / 6

LCM(24,79,678) = 1285488 / 6

LCM(24,79,678) = 214248


Lets's calculate GCF of 553,269,154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214248/1

Therefore the LCM of Fractions 24/553,79/269,678/154 is 214248

Greatest Common Factor of 553,269,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,269,154 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 553,269,154 . The biggest common factor number is the GCF number.
So the greatest common factor 553,269,154 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 24/553, 79/269, 678/154

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 24/553, 79/269, 678/154?

Answer: LCM of Numerators as per given numbers 24/553, 79/269, 678/154 is

LCM of Numerators i.e. for 24,79,678 is 214248

GCF of denominators i.e. for 553,269,154 is 1.

Thus, LCM of Fractions is 214248.Finally, LCM of Fractions for 24/553, 79/269, 678/154 is 214248.