Least Common Multiple of 540/690, 460/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/690, 460/448 quickly i.e. 6210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/690, 460/448 is 6210.

LCM(540/690, 460/448) = 6210

LCM of 540/690, 460/448

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 540/690,460/448

Given numbers are 540/690,460/448

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 540,460

Least Common Multiple of Numerators i.e. LCM of 540,460 is 12420.

GCF of Denominators means GCF of 690,448 as per the given fractions.

GCF of 690,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,460

LCM of Fractions 540/690,460/448 is 6210

2 540, 460
2 270, 230
5 135, 115
27, 23

∴ So the LCM of the given numbers is 2 x 2 x 5 x 27 x 23 = 12420

Least Common Multiple of 540,460 with GCF Formula

Least Common Multiple of 540,460 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 540,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,460) = 20

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

GCF(540,460) x common factors =20 x 1 = 20

LCM(540,460) = ( 540 × 460 ) / 20

LCM(540,460) = 248400 / 20

LCM(540,460) = 12420


Lets's calculate GCF of 690,448

2 690, 448
345, 224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/2

Therefore the LCM of Fractions 540/690,460/448 is 6210

Greatest Common Factor of 690,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,448 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 690,448 . The biggest common factor number is the GCF number.
So the greatest common factor 690,448 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 540/690, 460/448

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 540/690, 460/448?

Answer: LCM of Numerators as per given numbers 540/690, 460/448 is

LCM of Numerators i.e. for 540,460 is 12420

GCF of denominators i.e. for 690,448 is 2.

Thus, LCM of Fractions is 6210.Finally, LCM of Fractions for 540/690, 460/448 is 6210.