Least Common Multiple of 3243/296, 6347/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3243/296, 6347/370 quickly i.e. 20583321/74 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3243/296, 6347/370 is 20583321/74.

LCM(3243/296, 6347/370) = 20583321/74

LCM of 3243/296, 6347/370

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 3243/296,6347/370

Given numbers are 3243/296,6347/370

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 3243,6347

Least Common Multiple of Numerators i.e. LCM of 3243,6347 is 20583321.

GCF of Denominators means GCF of 296,370 as per the given fractions.

GCF of 296,370 is 74 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3243,6347

LCM of Fractions 3243/296,6347/370 is 20583321/74

Given numbers has no common factors except 1. So, there LCM is their product i.e 20583321

Least Common Multiple of 3243,6347 with GCF Formula

Least Common Multiple of 3243,6347 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 3243,6347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3243,6347) = 1

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

GCF(3243,6347) x common factors =1 x 1 = 1

LCM(3243,6347) = ( 3243 × 6347 ) / 1

LCM(3243,6347) = 20583321 / 1

LCM(3243,6347) = 20583321


Lets's calculate GCF of 296,370

2 296, 370
37 148, 185
4, 5

∴ So the GCF of the given numbers is 2 x 37 = 74

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20583321/74

Therefore the LCM of Fractions 3243/296,6347/370 is 20583321/74

Greatest Common Factor of 296,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,370 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 296,370 . The biggest common factor number is the GCF number.
So the greatest common factor 296,370 is 74.


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 3243/296, 6347/370

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 3243/296, 6347/370?

Answer: LCM of Numerators as per given numbers 3243/296, 6347/370 is

LCM of Numerators i.e. for 3243,6347 is 20583321

GCF of denominators i.e. for 296,370 is 74.

Thus, LCM of Fractions is 20583321/74.Finally, LCM of Fractions for 3243/296, 6347/370 is 20583321/74.