Least Common Multiple of 280/58, 432/1506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/58, 432/1506 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/58, 432/1506 is 7560.

LCM(280/58, 432/1506) = 7560

LCM of 280/58, 432/1506

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 280/58,432/1506

Given numbers are 280/58,432/1506

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 280,432

Least Common Multiple of Numerators i.e. LCM of 280,432 is 15120.

GCF of Denominators means GCF of 58,1506 as per the given fractions.

GCF of 58,1506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,432

LCM of Fractions 280/58,432/1506 is 7560

2 280, 432
2 140, 216
2 70, 108
35, 54

∴ So the LCM of the given numbers is 2 x 2 x 2 x 35 x 54 = 15120

Least Common Multiple of 280,432 with GCF Formula

Least Common Multiple of 280,432 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 280,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,432) = 8

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

GCF(280,432) x common factors =8 x 1 = 8

LCM(280,432) = ( 280 × 432 ) / 8

LCM(280,432) = 120960 / 8

LCM(280,432) = 15120


Lets's calculate GCF of 58,1506

2 58, 1506
29, 753

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15120/2

Therefore the LCM of Fractions 280/58,432/1506 is 7560

Greatest Common Factor of 58,1506 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1506 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors 58,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1506 is 2.


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 280/58, 432/1506

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 280/58, 432/1506?

Answer: LCM of Numerators as per given numbers 280/58, 432/1506 is

LCM of Numerators i.e. for 280,432 is 15120

GCF of denominators i.e. for 58,1506 is 2.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 280/58, 432/1506 is 7560.