Least Common Multiple of 149/90, 868/98, 268/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/90, 868/98, 268/656 quickly i.e. 4332622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/90, 868/98, 268/656 is 4332622.

LCM(149/90, 868/98, 268/656) = 4332622

LCM of 149/90, 868/98, 268/656

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 149/90,868/98,268/656

Given numbers are 149/90,868/98,268/656

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 149,868,268

Least Common Multiple of Numerators i.e. LCM of 149,868,268 is 8665244.

GCF of Denominators means GCF of 90,98,656 as per the given fractions.

GCF of 90,98,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,868,268

LCM of Fractions 149/90,868/98,268/656 is 4332622

2 149, 868, 268
2 149, 434, 134
149, 217, 67

∴ So the LCM of the given numbers is 2 x 2 x 149 x 217 x 67 = 8665244

Least Common Multiple of 149,868,268 with GCF Formula

Least Common Multiple of 149,868,268 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 149,868,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,868,268) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(149,868,268) x common factors =1 x 4 = 4

LCM(149,868,268) = ( 149 × 868 × 268 ) / 4

LCM(149,868,268) = 34660976 / 4

LCM(149,868,268) = 8665244


Lets's calculate GCF of 90,98,656

2 90, 98, 656
45, 49, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8665244/2

Therefore the LCM of Fractions 149/90,868/98,268/656 is 4332622

Greatest Common Factor of 90,98,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,98,656 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 90,98,656 . The biggest common factor number is the GCF number.
So the greatest common factor 90,98,656 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 149/90, 868/98, 268/656

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 149/90, 868/98, 268/656?

Answer: LCM of Numerators as per given numbers 149/90, 868/98, 268/656 is

LCM of Numerators i.e. for 149,868,268 is 8665244

GCF of denominators i.e. for 90,98,656 is 2.

Thus, LCM of Fractions is 4332622.Finally, LCM of Fractions for 149/90, 868/98, 268/656 is 4332622.