Least Common Multiple of 90/296, 11/992, 149/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/296, 11/992, 149/950 quickly i.e. 73755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/296, 11/992, 149/950 is 73755.

LCM(90/296, 11/992, 149/950) = 73755

LCM of 90/296, 11/992, 149/950

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 90/296,11/992,149/950

Given numbers are 90/296,11/992,149/950

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 90,11,149

Least Common Multiple of Numerators i.e. LCM of 90,11,149 is 147510.

GCF of Denominators means GCF of 296,992,950 as per the given fractions.

GCF of 296,992,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,11,149

LCM of Fractions 90/296,11/992,149/950 is 73755

Given numbers has no common factors except 1. So, there LCM is their product i.e 147510

Least Common Multiple of 90,11,149 with GCF Formula

Least Common Multiple of 90,11,149 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 90,11,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,11,149) = 1

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

GCF(90,11,149) x common factors =1 x 1 = 1

LCM(90,11,149) = ( 90 × 11 × 149 ) / 1

LCM(90,11,149) = 147510 / 1

LCM(90,11,149) = 147510


Lets's calculate GCF of 296,992,950

2 296, 992, 950
148, 496, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147510/2

Therefore the LCM of Fractions 90/296,11/992,149/950 is 73755

Greatest Common Factor of 296,992,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,992,950 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 296,992,950 . The biggest common factor number is the GCF number.
So the greatest common factor 296,992,950 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 90/296, 11/992, 149/950

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 90/296, 11/992, 149/950?

Answer: LCM of Numerators as per given numbers 90/296, 11/992, 149/950 is

LCM of Numerators i.e. for 90,11,149 is 147510

GCF of denominators i.e. for 296,992,950 is 2.

Thus, LCM of Fractions is 73755.Finally, LCM of Fractions for 90/296, 11/992, 149/950 is 73755.