Least Common Multiple of 89/325, 45/895, 269/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/325, 45/895, 269/295 quickly i.e. 215469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/325, 45/895, 269/295 is 215469.

LCM(89/325, 45/895, 269/295) = 215469

LCM of 89/325, 45/895, 269/295

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 89/325,45/895,269/295

Given numbers are 89/325,45/895,269/295

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 89,45,269

Least Common Multiple of Numerators i.e. LCM of 89,45,269 is 1077345.

GCF of Denominators means GCF of 325,895,295 as per the given fractions.

GCF of 325,895,295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,45,269

LCM of Fractions 89/325,45/895,269/295 is 215469

Given numbers has no common factors except 1. So, there LCM is their product i.e 1077345

Least Common Multiple of 89,45,269 with GCF Formula

Least Common Multiple of 89,45,269 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 89,45,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,45,269) = 1

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

GCF(89,45,269) x common factors =1 x 1 = 1

LCM(89,45,269) = ( 89 × 45 × 269 ) / 1

LCM(89,45,269) = 1077345 / 1

LCM(89,45,269) = 1077345


Lets's calculate GCF of 325,895,295

5 325, 895, 295
65, 179, 59

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1077345/5

Therefore the LCM of Fractions 89/325,45/895,269/295 is 215469

Greatest Common Factor of 325,895,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,895,295 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 325,895,295 . The biggest common factor number is the GCF number.
So the greatest common factor 325,895,295 is 5.


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 89/325, 45/895, 269/295

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 89/325, 45/895, 269/295?

Answer: LCM of Numerators as per given numbers 89/325, 45/895, 269/295 is

LCM of Numerators i.e. for 89,45,269 is 1077345

GCF of denominators i.e. for 325,895,295 is 5.

Thus, LCM of Fractions is 215469.Finally, LCM of Fractions for 89/325, 45/895, 269/295 is 215469.