Least Common Multiple of 89/352, 4356/4125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/352, 4356/4125 quickly i.e. 35244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/352, 4356/4125 is 35244.

LCM(89/352, 4356/4125) = 35244

LCM of 89/352, 4356/4125

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 89/352,4356/4125

Given numbers are 89/352,4356/4125

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 89,4356

Least Common Multiple of Numerators i.e. LCM of 89,4356 is 387684.

GCF of Denominators means GCF of 352,4125 as per the given fractions.

GCF of 352,4125 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,4356

LCM of Fractions 89/352,4356/4125 is 35244

Given numbers has no common factors except 1. So, there LCM is their product i.e 387684

Least Common Multiple of 89,4356 with GCF Formula

Least Common Multiple of 89,4356 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 89,4356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,4356) = 1

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

GCF(89,4356) x common factors =1 x 1 = 1

LCM(89,4356) = ( 89 × 4356 ) / 1

LCM(89,4356) = 387684 / 1

LCM(89,4356) = 387684


Lets's calculate GCF of 352,4125

11 352, 4125
32, 375

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387684/11

Therefore the LCM of Fractions 89/352,4356/4125 is 35244

Greatest Common Factor of 352,4125 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,4125 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 4125

List of positive integer factors of 4125 that divides 4125 without a remainder.

1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125

Greatest Common Factor

We found the factors 352,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 352,4125 is 11.


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 89/352, 4356/4125

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 89/352, 4356/4125?

Answer: LCM of Numerators as per given numbers 89/352, 4356/4125 is

LCM of Numerators i.e. for 89,4356 is 387684

GCF of denominators i.e. for 352,4125 is 11.

Thus, LCM of Fractions is 35244.Finally, LCM of Fractions for 89/352, 4356/4125 is 35244.