Least Common Multiple of 2135/373, 7232/8505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2135/373, 7232/8505 quickly i.e. 15440320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2135/373, 7232/8505 is 15440320.

LCM(2135/373, 7232/8505) = 15440320

LCM of 2135/373, 7232/8505

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 2135/373,7232/8505

Given numbers are 2135/373,7232/8505

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 2135,7232

Least Common Multiple of Numerators i.e. LCM of 2135,7232 is 15440320.

GCF of Denominators means GCF of 373,8505 as per the given fractions.

GCF of 373,8505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2135,7232

LCM of Fractions 2135/373,7232/8505 is 15440320

Given numbers has no common factors except 1. So, there LCM is their product i.e 15440320

Least Common Multiple of 2135,7232 with GCF Formula

Least Common Multiple of 2135,7232 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 2135,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2135,7232) = 1

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

GCF(2135,7232) x common factors =1 x 1 = 1

LCM(2135,7232) = ( 2135 × 7232 ) / 1

LCM(2135,7232) = 15440320 / 1

LCM(2135,7232) = 15440320


Lets's calculate GCF of 373,8505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15440320/1

Therefore the LCM of Fractions 2135/373,7232/8505 is 15440320

Greatest Common Factor of 373,8505 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,8505 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors 373,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 373,8505 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 2135/373, 7232/8505

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 2135/373, 7232/8505?

Answer: LCM of Numerators as per given numbers 2135/373, 7232/8505 is

LCM of Numerators i.e. for 2135,7232 is 15440320

GCF of denominators i.e. for 373,8505 is 1.

Thus, LCM of Fractions is 15440320.Finally, LCM of Fractions for 2135/373, 7232/8505 is 15440320.