Least Common Multiple of 99/90, 112/48, 950/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/90, 112/48, 950/390 quickly i.e. 877800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/90, 112/48, 950/390 is 877800.

LCM(99/90, 112/48, 950/390) = 877800

LCM of 99/90, 112/48, 950/390

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 99/90,112/48,950/390

Given numbers are 99/90,112/48,950/390

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 99,112,950

Least Common Multiple of Numerators i.e. LCM of 99,112,950 is 5266800.

GCF of Denominators means GCF of 90,48,390 as per the given fractions.

GCF of 90,48,390 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,112,950

LCM of Fractions 99/90,112/48,950/390 is 877800

2 99, 112, 950
99, 56, 475

∴ So the LCM of the given numbers is 2 x 99 x 56 x 475 = 5266800

Least Common Multiple of 99,112,950 with GCF Formula

Least Common Multiple of 99,112,950 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 99,112,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,112,950) = 1

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

GCF(99,112,950) x common factors =1 x 2 = 2

LCM(99,112,950) = ( 99 × 112 × 950 ) / 2

LCM(99,112,950) = 10533600 / 2

LCM(99,112,950) = 5266800


Lets's calculate GCF of 90,48,390

2 90, 48, 390
3 45, 24, 195
15, 8, 65

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5266800/6

Therefore the LCM of Fractions 99/90,112/48,950/390 is 877800

Greatest Common Factor of 90,48,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,48,390 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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 90,48,390 . The biggest common factor number is the GCF number.
So the greatest common factor 90,48,390 is 6.


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 99/90, 112/48, 950/390

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 99/90, 112/48, 950/390?

Answer: LCM of Numerators as per given numbers 99/90, 112/48, 950/390 is

LCM of Numerators i.e. for 99,112,950 is 5266800

GCF of denominators i.e. for 90,48,390 is 6.

Thus, LCM of Fractions is 877800.Finally, LCM of Fractions for 99/90, 112/48, 950/390 is 877800.