Least Common Multiple of 500/50, 960/38, 262/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/50, 960/38, 262/453 quickly i.e. 3144000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/50, 960/38, 262/453 is 3144000.

LCM(500/50, 960/38, 262/453) = 3144000

LCM of 500/50, 960/38, 262/453

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 500/50,960/38,262/453

Given numbers are 500/50,960/38,262/453

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 500,960,262

Least Common Multiple of Numerators i.e. LCM of 500,960,262 is 3144000.

GCF of Denominators means GCF of 50,38,453 as per the given fractions.

GCF of 50,38,453 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,960,262

LCM of Fractions 500/50,960/38,262/453 is 3144000

2 500, 960, 262
2 250, 480, 131
5 125, 240, 131
25, 48, 131

∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 48 x 131 = 3144000

Least Common Multiple of 500,960,262 with GCF Formula

Least Common Multiple of 500,960,262 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 500,960,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,960,262) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(500,960,262) x common factors =2 x 20 = 40

LCM(500,960,262) = ( 500 × 960 × 262 ) / 40

LCM(500,960,262) = 125760000 / 40

LCM(500,960,262) = 3144000


Lets's calculate GCF of 50,38,453

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3144000/1

Therefore the LCM of Fractions 500/50,960/38,262/453 is 3144000

Greatest Common Factor of 50,38,453 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,38,453 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Greatest Common Factor

We found the factors 50,38,453 . The biggest common factor number is the GCF number.
So the greatest common factor 50,38,453 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 500/50, 960/38, 262/453

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 500/50, 960/38, 262/453?

Answer: LCM of Numerators as per given numbers 500/50, 960/38, 262/453 is

LCM of Numerators i.e. for 500,960,262 is 3144000

GCF of denominators i.e. for 50,38,453 is 1.

Thus, LCM of Fractions is 3144000.Finally, LCM of Fractions for 500/50, 960/38, 262/453 is 3144000.