Least Common Multiple of 4688/90, 4428/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4688/90, 4428/142 quickly i.e. 2594808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4688/90, 4428/142 is 2594808.

LCM(4688/90, 4428/142) = 2594808

LCM of 4688/90, 4428/142

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 4688/90,4428/142

Given numbers are 4688/90,4428/142

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 4688,4428

Least Common Multiple of Numerators i.e. LCM of 4688,4428 is 5189616.

GCF of Denominators means GCF of 90,142 as per the given fractions.

GCF of 90,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4688,4428

LCM of Fractions 4688/90,4428/142 is 2594808

2 4688, 4428
2 2344, 2214
1172, 1107

∴ So the LCM of the given numbers is 2 x 2 x 1172 x 1107 = 5189616

Least Common Multiple of 4688,4428 with GCF Formula

Least Common Multiple of 4688,4428 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 4688,4428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4688,4428) = 4

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

GCF(4688,4428) x common factors =4 x 1 = 4

LCM(4688,4428) = ( 4688 × 4428 ) / 4

LCM(4688,4428) = 20758464 / 4

LCM(4688,4428) = 5189616


Lets's calculate GCF of 90,142

2 90, 142
45, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5189616/2

Therefore the LCM of Fractions 4688/90,4428/142 is 2594808

Greatest Common Factor of 90,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,142 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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 90,142 . The biggest common factor number is the GCF number.
So the greatest common factor 90,142 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 4688/90, 4428/142

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 4688/90, 4428/142?

Answer: LCM of Numerators as per given numbers 4688/90, 4428/142 is

LCM of Numerators i.e. for 4688,4428 is 5189616

GCF of denominators i.e. for 90,142 is 2.

Thus, LCM of Fractions is 2594808.Finally, LCM of Fractions for 4688/90, 4428/142 is 2594808.