Least Common Multiple of 288/42, 678/29, 420/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/42, 678/29, 420/458 quickly i.e. 1139040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/42, 678/29, 420/458 is 1139040.

LCM(288/42, 678/29, 420/458) = 1139040

LCM of 288/42, 678/29, 420/458

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 288/42,678/29,420/458

Given numbers are 288/42,678/29,420/458

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 288,678,420

Least Common Multiple of Numerators i.e. LCM of 288,678,420 is 1139040.

GCF of Denominators means GCF of 42,29,458 as per the given fractions.

GCF of 42,29,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,678,420

LCM of Fractions 288/42,678/29,420/458 is 1139040

2 288, 678, 420
2 144, 339, 210
3 72, 339, 105
24, 113, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 113 x 35 = 1139040

Least Common Multiple of 288,678,420 with GCF Formula

Least Common Multiple of 288,678,420 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 288,678,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,678,420) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(288,678,420) x common factors =6 x 12 = 72

LCM(288,678,420) = ( 288 × 678 × 420 ) / 72

LCM(288,678,420) = 82010880 / 72

LCM(288,678,420) = 1139040


Lets's calculate GCF of 42,29,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1139040/1

Therefore the LCM of Fractions 288/42,678/29,420/458 is 1139040

Greatest Common Factor of 42,29,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,29,458 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 42,29,458 . The biggest common factor number is the GCF number.
So the greatest common factor 42,29,458 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 288/42, 678/29, 420/458

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 288/42, 678/29, 420/458?

Answer: LCM of Numerators as per given numbers 288/42, 678/29, 420/458 is

LCM of Numerators i.e. for 288,678,420 is 1139040

GCF of denominators i.e. for 42,29,458 is 1.

Thus, LCM of Fractions is 1139040.Finally, LCM of Fractions for 288/42, 678/29, 420/458 is 1139040.