Least Common Multiple of 13/85, 49/63, 46/28, 21/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/85, 49/63, 46/28, 21/270 quickly i.e. 87906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/85, 49/63, 46/28, 21/270 is 87906.

LCM(13/85, 49/63, 46/28, 21/270) = 87906

LCM of 13/85, 49/63, 46/28, 21/270

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 13/85,49/63,46/28,21/270

Given numbers are 13/85,49/63,46/28,21/270

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 13,49,46,21

Least Common Multiple of Numerators i.e. LCM of 13,49,46,21 is 87906.

GCF of Denominators means GCF of 85,63,28,270 as per the given fractions.

GCF of 85,63,28,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,49,46,21

LCM of Fractions 13/85,49/63,46/28,21/270 is 87906

7 13, 49, 46, 21
13, 7, 46, 3

∴ So the LCM of the given numbers is 7 x 13 x 7 x 46 x 3 = 87906

Least Common Multiple of 13,49,46,21 with GCF Formula

Least Common Multiple of 13,49,46,21 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 13,49,46,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,49,46,21) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(13,49,46,21) x common factors =1 x 7 = 7

LCM(13,49,46,21) = ( 13 × 49 × 46 × 21 ) / 7

LCM(13,49,46,21) = 615342 / 7

LCM(13,49,46,21) = 87906


Lets's calculate GCF of 85,63,28,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87906/1

Therefore the LCM of Fractions 13/85,49/63,46/28,21/270 is 87906

Greatest Common Factor of 85,63,28,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,63,28,270 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 28

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

1,2,4,7,14,28

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 85,63,28,270 . The biggest common factor number is the GCF number.
So the greatest common factor 85,63,28,270 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 13/85, 49/63, 46/28, 21/270

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 13/85, 49/63, 46/28, 21/270?

Answer: LCM of Numerators as per given numbers 13/85, 49/63, 46/28, 21/270 is

LCM of Numerators i.e. for 13,49,46,21 is 87906

GCF of denominators i.e. for 85,63,28,270 is 1.

Thus, LCM of Fractions is 87906.Finally, LCM of Fractions for 13/85, 49/63, 46/28, 21/270 is 87906.