Least Common Multiple of 345/84, 864/5575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/84, 864/5575 quickly i.e. 99360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/84, 864/5575 is 99360.

LCM(345/84, 864/5575) = 99360

LCM of 345/84, 864/5575

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 345/84,864/5575

Given numbers are 345/84,864/5575

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 345,864

Least Common Multiple of Numerators i.e. LCM of 345,864 is 99360.

GCF of Denominators means GCF of 84,5575 as per the given fractions.

GCF of 84,5575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,864

LCM of Fractions 345/84,864/5575 is 99360

3 345, 864
115, 288

∴ So the LCM of the given numbers is 3 x 115 x 288 = 99360

Least Common Multiple of 345,864 with GCF Formula

Least Common Multiple of 345,864 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 345,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,864) = 3

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

GCF(345,864) x common factors =3 x 1 = 3

LCM(345,864) = ( 345 × 864 ) / 3

LCM(345,864) = 298080 / 3

LCM(345,864) = 99360


Lets's calculate GCF of 84,5575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99360/1

Therefore the LCM of Fractions 345/84,864/5575 is 99360

Greatest Common Factor of 84,5575 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5575 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1,5,25,223,1115,5575

Greatest Common Factor

We found the factors 84,5575 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5575 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 345/84, 864/5575

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 345/84, 864/5575?

Answer: LCM of Numerators as per given numbers 345/84, 864/5575 is

LCM of Numerators i.e. for 345,864 is 99360

GCF of denominators i.e. for 84,5575 is 1.

Thus, LCM of Fractions is 99360.Finally, LCM of Fractions for 345/84, 864/5575 is 99360.