Least Common Multiple of 275/23, 528/70, 281/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 275/23, 528/70, 281/422 quickly i.e. 3709200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 275/23, 528/70, 281/422 is 3709200.

LCM(275/23, 528/70, 281/422) = 3709200

LCM of 275/23, 528/70, 281/422

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 275/23,528/70,281/422

Given numbers are 275/23,528/70,281/422

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 275,528,281

Least Common Multiple of Numerators i.e. LCM of 275,528,281 is 3709200.

GCF of Denominators means GCF of 23,70,422 as per the given fractions.

GCF of 23,70,422 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 275,528,281

LCM of Fractions 275/23,528/70,281/422 is 3709200

11 275, 528, 281
25, 48, 281

∴ So the LCM of the given numbers is 11 x 25 x 48 x 281 = 3709200

Least Common Multiple of 275,528,281 with GCF Formula

Least Common Multiple of 275,528,281 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 275,528,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,528,281) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(275,528,281) x common factors =1 x 11 = 11

LCM(275,528,281) = ( 275 × 528 × 281 ) / 11

LCM(275,528,281) = 40801200 / 11

LCM(275,528,281) = 3709200


Lets's calculate GCF of 23,70,422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3709200/1

Therefore the LCM of Fractions 275/23,528/70,281/422 is 3709200

Greatest Common Factor of 23,70,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,70,422 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 23,70,422 . The biggest common factor number is the GCF number.
So the greatest common factor 23,70,422 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 275/23, 528/70, 281/422

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 275/23, 528/70, 281/422?

Answer: LCM of Numerators as per given numbers 275/23, 528/70, 281/422 is

LCM of Numerators i.e. for 275,528,281 is 3709200

GCF of denominators i.e. for 23,70,422 is 1.

Thus, LCM of Fractions is 3709200.Finally, LCM of Fractions for 275/23, 528/70, 281/422 is 3709200.