Least Common Multiple of 89/485, 309/533, 640/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/485, 309/533, 640/725 quickly i.e. 17600640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/485, 309/533, 640/725 is 17600640.

LCM(89/485, 309/533, 640/725) = 17600640

LCM of 89/485, 309/533, 640/725

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 89/485,309/533,640/725

Given numbers are 89/485,309/533,640/725

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 89,309,640

Least Common Multiple of Numerators i.e. LCM of 89,309,640 is 17600640.

GCF of Denominators means GCF of 485,533,725 as per the given fractions.

GCF of 485,533,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,309,640

LCM of Fractions 89/485,309/533,640/725 is 17600640

Given numbers has no common factors except 1. So, there LCM is their product i.e 17600640

Least Common Multiple of 89,309,640 with GCF Formula

Least Common Multiple of 89,309,640 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 89,309,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,309,640) = 1

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

GCF(89,309,640) x common factors =1 x 1 = 1

LCM(89,309,640) = ( 89 × 309 × 640 ) / 1

LCM(89,309,640) = 17600640 / 1

LCM(89,309,640) = 17600640


Lets's calculate GCF of 485,533,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17600640/1

Therefore the LCM of Fractions 89/485,309/533,640/725 is 17600640

Greatest Common Factor of 485,533,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,533,725 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 485,533,725 . The biggest common factor number is the GCF number.
So the greatest common factor 485,533,725 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 89/485, 309/533, 640/725

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 89/485, 309/533, 640/725?

Answer: LCM of Numerators as per given numbers 89/485, 309/533, 640/725 is

LCM of Numerators i.e. for 89,309,640 is 17600640

GCF of denominators i.e. for 485,533,725 is 1.

Thus, LCM of Fractions is 17600640.Finally, LCM of Fractions for 89/485, 309/533, 640/725 is 17600640.