Least Common Multiple of 42/990, 50/173, 535/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/990, 50/173, 535/889 quickly i.e. 112350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/990, 50/173, 535/889 is 112350.

LCM(42/990, 50/173, 535/889) = 112350

LCM of 42/990, 50/173, 535/889

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 42/990,50/173,535/889

Given numbers are 42/990,50/173,535/889

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 42,50,535

Least Common Multiple of Numerators i.e. LCM of 42,50,535 is 112350.

GCF of Denominators means GCF of 990,173,889 as per the given fractions.

GCF of 990,173,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,50,535

LCM of Fractions 42/990,50/173,535/889 is 112350

2 42, 50, 535
5 21, 25, 535
21, 5, 107

∴ So the LCM of the given numbers is 2 x 5 x 21 x 5 x 107 = 112350

Least Common Multiple of 42,50,535 with GCF Formula

Least Common Multiple of 42,50,535 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 42,50,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,50,535) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(42,50,535) x common factors =1 x 10 = 10

LCM(42,50,535) = ( 42 × 50 × 535 ) / 10

LCM(42,50,535) = 1123500 / 10

LCM(42,50,535) = 112350


Lets's calculate GCF of 990,173,889

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112350/1

Therefore the LCM of Fractions 42/990,50/173,535/889 is 112350

Greatest Common Factor of 990,173,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,173,889 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 990,173,889 . The biggest common factor number is the GCF number.
So the greatest common factor 990,173,889 is 1.


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 42/990, 50/173, 535/889

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 42/990, 50/173, 535/889?

Answer: LCM of Numerators as per given numbers 42/990, 50/173, 535/889 is

LCM of Numerators i.e. for 42,50,535 is 112350

GCF of denominators i.e. for 990,173,889 is 1.

Thus, LCM of Fractions is 112350.Finally, LCM of Fractions for 42/990, 50/173, 535/889 is 112350.