Least Common Multiple of 386/297, 3945/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/297, 3945/600 quickly i.e. 507590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/297, 3945/600 is 507590.

LCM(386/297, 3945/600) = 507590

LCM of 386/297, 3945/600

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 386/297,3945/600

Given numbers are 386/297,3945/600

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 386,3945

Least Common Multiple of Numerators i.e. LCM of 386,3945 is 1522770.

GCF of Denominators means GCF of 297,600 as per the given fractions.

GCF of 297,600 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,3945

LCM of Fractions 386/297,3945/600 is 507590

Given numbers has no common factors except 1. So, there LCM is their product i.e 1522770

Least Common Multiple of 386,3945 with GCF Formula

Least Common Multiple of 386,3945 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 386,3945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,3945) = 1

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

GCF(386,3945) x common factors =1 x 1 = 1

LCM(386,3945) = ( 386 × 3945 ) / 1

LCM(386,3945) = 1522770 / 1

LCM(386,3945) = 1522770


Lets's calculate GCF of 297,600

3 297, 600
99, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1522770/3

Therefore the LCM of Fractions 386/297,3945/600 is 507590

Greatest Common Factor of 297,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,600 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 297,600 . The biggest common factor number is the GCF number.
So the greatest common factor 297,600 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 386/297, 3945/600

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 386/297, 3945/600?

Answer: LCM of Numerators as per given numbers 386/297, 3945/600 is

LCM of Numerators i.e. for 386,3945 is 1522770

GCF of denominators i.e. for 297,600 is 3.

Thus, LCM of Fractions is 507590.Finally, LCM of Fractions for 386/297, 3945/600 is 507590.