Least Common Multiple of 49/90, 13/15, 44/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/90, 13/15, 44/870 quickly i.e. 28028/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/90, 13/15, 44/870 is 28028/15.

LCM(49/90, 13/15, 44/870) = 28028/15

LCM of 49/90, 13/15, 44/870

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 49/90,13/15,44/870

Given numbers are 49/90,13/15,44/870

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 49,13,44

Least Common Multiple of Numerators i.e. LCM of 49,13,44 is 28028.

GCF of Denominators means GCF of 90,15,870 as per the given fractions.

GCF of 90,15,870 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,13,44

LCM of Fractions 49/90,13/15,44/870 is 28028/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 28028

Least Common Multiple of 49,13,44 with GCF Formula

Least Common Multiple of 49,13,44 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 49,13,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,13,44) = 1

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

GCF(49,13,44) x common factors =1 x 1 = 1

LCM(49,13,44) = ( 49 × 13 × 44 ) / 1

LCM(49,13,44) = 28028 / 1

LCM(49,13,44) = 28028


Lets's calculate GCF of 90,15,870

3 90, 15, 870
5 30, 5, 290
6, 1, 58

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28028/15

Therefore the LCM of Fractions 49/90,13/15,44/870 is 28028/15

Greatest Common Factor of 90,15,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,15,870 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 90,15,870 . The biggest common factor number is the GCF number.
So the greatest common factor 90,15,870 is 15.


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 49/90, 13/15, 44/870

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 49/90, 13/15, 44/870?

Answer: LCM of Numerators as per given numbers 49/90, 13/15, 44/870 is

LCM of Numerators i.e. for 49,13,44 is 28028

GCF of denominators i.e. for 90,15,870 is 15.

Thus, LCM of Fractions is 28028/15.Finally, LCM of Fractions for 49/90, 13/15, 44/870 is 28028/15.