Least Common Multiple of 136/90, 106/74, 961/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/90, 106/74, 961/788 quickly i.e. 3463444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/90, 106/74, 961/788 is 3463444.

LCM(136/90, 106/74, 961/788) = 3463444

LCM of 136/90, 106/74, 961/788

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 136/90,106/74,961/788

Given numbers are 136/90,106/74,961/788

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 136,106,961

Least Common Multiple of Numerators i.e. LCM of 136,106,961 is 6926888.

GCF of Denominators means GCF of 90,74,788 as per the given fractions.

GCF of 90,74,788 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,106,961

LCM of Fractions 136/90,106/74,961/788 is 3463444

2 136, 106, 961
68, 53, 961

∴ So the LCM of the given numbers is 2 x 68 x 53 x 961 = 6926888

Least Common Multiple of 136,106,961 with GCF Formula

Least Common Multiple of 136,106,961 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 136,106,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,106,961) = 1

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

GCF(136,106,961) x common factors =1 x 2 = 2

LCM(136,106,961) = ( 136 × 106 × 961 ) / 2

LCM(136,106,961) = 13853776 / 2

LCM(136,106,961) = 6926888


Lets's calculate GCF of 90,74,788

2 90, 74, 788
45, 37, 394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6926888/2

Therefore the LCM of Fractions 136/90,106/74,961/788 is 3463444

Greatest Common Factor of 90,74,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,74,788 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 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 90,74,788 . The biggest common factor number is the GCF number.
So the greatest common factor 90,74,788 is 2.


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 136/90, 106/74, 961/788

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 136/90, 106/74, 961/788?

Answer: LCM of Numerators as per given numbers 136/90, 106/74, 961/788 is

LCM of Numerators i.e. for 136,106,961 is 6926888

GCF of denominators i.e. for 90,74,788 is 2.

Thus, LCM of Fractions is 3463444.Finally, LCM of Fractions for 136/90, 106/74, 961/788 is 3463444.