Least Common Multiple of 280/75, 382/4542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/75, 382/4542 quickly i.e. 53480/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/75, 382/4542 is 53480/3.

LCM(280/75, 382/4542) = 53480/3

LCM of 280/75, 382/4542

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 280/75,382/4542

Given numbers are 280/75,382/4542

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 280,382

Least Common Multiple of Numerators i.e. LCM of 280,382 is 53480.

GCF of Denominators means GCF of 75,4542 as per the given fractions.

GCF of 75,4542 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,382

LCM of Fractions 280/75,382/4542 is 53480/3

2 280, 382
140, 191

∴ So the LCM of the given numbers is 2 x 140 x 191 = 53480

Least Common Multiple of 280,382 with GCF Formula

Least Common Multiple of 280,382 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 280,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,382) = 2

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

GCF(280,382) x common factors =2 x 1 = 2

LCM(280,382) = ( 280 × 382 ) / 2

LCM(280,382) = 106960 / 2

LCM(280,382) = 53480


Lets's calculate GCF of 75,4542

3 75, 4542
25, 1514

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53480/3

Therefore the LCM of Fractions 280/75,382/4542 is 53480/3

Greatest Common Factor of 75,4542 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4542 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1,2,3,6,757,1514,2271,4542

Greatest Common Factor

We found the factors 75,4542 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4542 is 3.


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 280/75, 382/4542

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 280/75, 382/4542?

Answer: LCM of Numerators as per given numbers 280/75, 382/4542 is

LCM of Numerators i.e. for 280,382 is 53480

GCF of denominators i.e. for 75,4542 is 3.

Thus, LCM of Fractions is 53480/3.Finally, LCM of Fractions for 280/75, 382/4542 is 53480/3.