Least Common Multiple of 89/147, 17/742, 525/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/147, 17/742, 525/872 quickly i.e. 794325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/147, 17/742, 525/872 is 794325.

LCM(89/147, 17/742, 525/872) = 794325

LCM of 89/147, 17/742, 525/872

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 89/147,17/742,525/872

Given numbers are 89/147,17/742,525/872

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 89,17,525

Least Common Multiple of Numerators i.e. LCM of 89,17,525 is 794325.

GCF of Denominators means GCF of 147,742,872 as per the given fractions.

GCF of 147,742,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,17,525

LCM of Fractions 89/147,17/742,525/872 is 794325

Given numbers has no common factors except 1. So, there LCM is their product i.e 794325

Least Common Multiple of 89,17,525 with GCF Formula

Least Common Multiple of 89,17,525 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 89,17,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,17,525) = 1

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

GCF(89,17,525) x common factors =1 x 1 = 1

LCM(89,17,525) = ( 89 × 17 × 525 ) / 1

LCM(89,17,525) = 794325 / 1

LCM(89,17,525) = 794325


Lets's calculate GCF of 147,742,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 794325/1

Therefore the LCM of Fractions 89/147,17/742,525/872 is 794325

Greatest Common Factor of 147,742,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,742,872 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 147,742,872 . The biggest common factor number is the GCF number.
So the greatest common factor 147,742,872 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 89/147, 17/742, 525/872

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 89/147, 17/742, 525/872?

Answer: LCM of Numerators as per given numbers 89/147, 17/742, 525/872 is

LCM of Numerators i.e. for 89,17,525 is 794325

GCF of denominators i.e. for 147,742,872 is 1.

Thus, LCM of Fractions is 794325.Finally, LCM of Fractions for 89/147, 17/742, 525/872 is 794325.