Least Common Multiple of 345/327, 3025/8664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/327, 3025/8664 quickly i.e. 69575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/327, 3025/8664 is 69575.

LCM(345/327, 3025/8664) = 69575

LCM of 345/327, 3025/8664

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 345/327,3025/8664

Given numbers are 345/327,3025/8664

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 345,3025

Least Common Multiple of Numerators i.e. LCM of 345,3025 is 208725.

GCF of Denominators means GCF of 327,8664 as per the given fractions.

GCF of 327,8664 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,3025

LCM of Fractions 345/327,3025/8664 is 69575

5 345, 3025
69, 605

∴ So the LCM of the given numbers is 5 x 69 x 605 = 208725

Least Common Multiple of 345,3025 with GCF Formula

Least Common Multiple of 345,3025 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 345,3025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,3025) = 5

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

GCF(345,3025) x common factors =5 x 1 = 5

LCM(345,3025) = ( 345 × 3025 ) / 5

LCM(345,3025) = 1043625 / 5

LCM(345,3025) = 208725


Lets's calculate GCF of 327,8664

3 327, 8664
109, 2888

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208725/3

Therefore the LCM of Fractions 345/327,3025/8664 is 69575

Greatest Common Factor of 327,8664 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,8664 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664

Greatest Common Factor

We found the factors 327,8664 . The biggest common factor number is the GCF number.
So the greatest common factor 327,8664 is 3.


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 345/327, 3025/8664

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 345/327, 3025/8664?

Answer: LCM of Numerators as per given numbers 345/327, 3025/8664 is

LCM of Numerators i.e. for 345,3025 is 208725

GCF of denominators i.e. for 327,8664 is 3.

Thus, LCM of Fractions is 69575.Finally, LCM of Fractions for 345/327, 3025/8664 is 69575.