Least Common Multiple of 268/28, 452/6264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/28, 452/6264 quickly i.e. 7571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/28, 452/6264 is 7571.

LCM(268/28, 452/6264) = 7571

LCM of 268/28, 452/6264

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 268/28,452/6264

Given numbers are 268/28,452/6264

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 268,452

Least Common Multiple of Numerators i.e. LCM of 268,452 is 30284.

GCF of Denominators means GCF of 28,6264 as per the given fractions.

GCF of 28,6264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,452

LCM of Fractions 268/28,452/6264 is 7571

2 268, 452
2 134, 226
67, 113

∴ So the LCM of the given numbers is 2 x 2 x 67 x 113 = 30284

Least Common Multiple of 268,452 with GCF Formula

Least Common Multiple of 268,452 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 268,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,452) = 4

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

GCF(268,452) x common factors =4 x 1 = 4

LCM(268,452) = ( 268 × 452 ) / 4

LCM(268,452) = 121136 / 4

LCM(268,452) = 30284


Lets's calculate GCF of 28,6264

2 28, 6264
2 14, 3132
7, 1566

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30284/4

Therefore the LCM of Fractions 268/28,452/6264 is 7571

Greatest Common Factor of 28,6264 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6264 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6264

List of positive integer factors of 6264 that divides 6264 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264

Greatest Common Factor

We found the factors 28,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6264 is 4.


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 268/28, 452/6264

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 268/28, 452/6264?

Answer: LCM of Numerators as per given numbers 268/28, 452/6264 is

LCM of Numerators i.e. for 268,452 is 30284

GCF of denominators i.e. for 28,6264 is 4.

Thus, LCM of Fractions is 7571.Finally, LCM of Fractions for 268/28, 452/6264 is 7571.