Least Common Multiple of 90/840, 7188/4442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/840, 7188/4442 quickly i.e. 53910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/840, 7188/4442 is 53910.

LCM(90/840, 7188/4442) = 53910

LCM of 90/840, 7188/4442

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 90/840,7188/4442

Given numbers are 90/840,7188/4442

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 90,7188

Least Common Multiple of Numerators i.e. LCM of 90,7188 is 107820.

GCF of Denominators means GCF of 840,4442 as per the given fractions.

GCF of 840,4442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,7188

LCM of Fractions 90/840,7188/4442 is 53910

2 90, 7188
3 45, 3594
15, 1198

∴ So the LCM of the given numbers is 2 x 3 x 15 x 1198 = 107820

Least Common Multiple of 90,7188 with GCF Formula

Least Common Multiple of 90,7188 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 90,7188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,7188) = 6

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

GCF(90,7188) x common factors =6 x 1 = 6

LCM(90,7188) = ( 90 × 7188 ) / 6

LCM(90,7188) = 646920 / 6

LCM(90,7188) = 107820


Lets's calculate GCF of 840,4442

2 840, 4442
420, 2221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107820/2

Therefore the LCM of Fractions 90/840,7188/4442 is 53910

Greatest Common Factor of 840,4442 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,4442 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1,2,2221,4442

Greatest Common Factor

We found the factors 840,4442 . The biggest common factor number is the GCF number.
So the greatest common factor 840,4442 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 90/840, 7188/4442

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 90/840, 7188/4442?

Answer: LCM of Numerators as per given numbers 90/840, 7188/4442 is

LCM of Numerators i.e. for 90,7188 is 107820

GCF of denominators i.e. for 840,4442 is 2.

Thus, LCM of Fractions is 53910.Finally, LCM of Fractions for 90/840, 7188/4442 is 53910.