Least Common Multiple of 10/615, 22/170, 252/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/615, 22/170, 252/474 quickly i.e. 13860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/615, 22/170, 252/474 is 13860.

LCM(10/615, 22/170, 252/474) = 13860

LCM of 10/615, 22/170, 252/474

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 10/615,22/170,252/474

Given numbers are 10/615,22/170,252/474

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 10,22,252

Least Common Multiple of Numerators i.e. LCM of 10,22,252 is 13860.

GCF of Denominators means GCF of 615,170,474 as per the given fractions.

GCF of 615,170,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,22,252

LCM of Fractions 10/615,22/170,252/474 is 13860

2 10, 22, 252
5, 11, 126

∴ So the LCM of the given numbers is 2 x 5 x 11 x 126 = 13860

Least Common Multiple of 10,22,252 with GCF Formula

Least Common Multiple of 10,22,252 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 10,22,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,22,252) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,22,252) x common factors =2 x 2 = 4

LCM(10,22,252) = ( 10 × 22 × 252 ) / 4

LCM(10,22,252) = 55440 / 4

LCM(10,22,252) = 13860


Lets's calculate GCF of 615,170,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13860/1

Therefore the LCM of Fractions 10/615,22/170,252/474 is 13860

Greatest Common Factor of 615,170,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,170,474 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 615,170,474 . The biggest common factor number is the GCF number.
So the greatest common factor 615,170,474 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 10/615, 22/170, 252/474

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 10/615, 22/170, 252/474?

Answer: LCM of Numerators as per given numbers 10/615, 22/170, 252/474 is

LCM of Numerators i.e. for 10,22,252 is 13860

GCF of denominators i.e. for 615,170,474 is 1.

Thus, LCM of Fractions is 13860.Finally, LCM of Fractions for 10/615, 22/170, 252/474 is 13860.