Least Common Multiple of 345/89, 536/4539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/89, 536/4539 quickly i.e. 184920/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/89, 536/4539 is 184920/89.

LCM(345/89, 536/4539) = 184920/89

LCM of 345/89, 536/4539

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 345/89,536/4539

Given numbers are 345/89,536/4539

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 345,536

Least Common Multiple of Numerators i.e. LCM of 345,536 is 184920.

GCF of Denominators means GCF of 89,4539 as per the given fractions.

GCF of 89,4539 is 89 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,536

LCM of Fractions 345/89,536/4539 is 184920/89

Given numbers has no common factors except 1. So, there LCM is their product i.e 184920

Least Common Multiple of 345,536 with GCF Formula

Least Common Multiple of 345,536 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 345,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,536) = 1

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

GCF(345,536) x common factors =1 x 1 = 1

LCM(345,536) = ( 345 × 536 ) / 1

LCM(345,536) = 184920 / 1

LCM(345,536) = 184920


Lets's calculate GCF of 89,4539

89 89, 4539
1, 51

∴ So the GCF of the given numbers is 89 = 89

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184920/89

Therefore the LCM of Fractions 345/89,536/4539 is 184920/89

Greatest Common Factor of 89,4539 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,4539 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 4539

List of positive integer factors of 4539 that divides 4539 without a remainder.

1,3,17,51,89,267,1513,4539

Greatest Common Factor

We found the factors 89,4539 . The biggest common factor number is the GCF number.
So the greatest common factor 89,4539 is 89.


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 345/89, 536/4539

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 345/89, 536/4539?

Answer: LCM of Numerators as per given numbers 345/89, 536/4539 is

LCM of Numerators i.e. for 345,536 is 184920

GCF of denominators i.e. for 89,4539 is 89.

Thus, LCM of Fractions is 184920/89.Finally, LCM of Fractions for 345/89, 536/4539 is 184920/89.