Least Common Multiple of 6970/238, 3641/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6970/238, 3641/600 quickly i.e. 12688885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6970/238, 3641/600 is 12688885.

LCM(6970/238, 3641/600) = 12688885

LCM of 6970/238, 3641/600

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 6970/238,3641/600

Given numbers are 6970/238,3641/600

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 6970,3641

Least Common Multiple of Numerators i.e. LCM of 6970,3641 is 25377770.

GCF of Denominators means GCF of 238,600 as per the given fractions.

GCF of 238,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6970,3641

LCM of Fractions 6970/238,3641/600 is 12688885

Given numbers has no common factors except 1. So, there LCM is their product i.e 25377770

Least Common Multiple of 6970,3641 with GCF Formula

Least Common Multiple of 6970,3641 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 6970,3641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6970,3641) = 1

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

GCF(6970,3641) x common factors =1 x 1 = 1

LCM(6970,3641) = ( 6970 × 3641 ) / 1

LCM(6970,3641) = 25377770 / 1

LCM(6970,3641) = 25377770


Lets's calculate GCF of 238,600

2 238, 600
119, 300

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25377770/2

Therefore the LCM of Fractions 6970/238,3641/600 is 12688885

Greatest Common Factor of 238,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,600 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

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 238,600 . The biggest common factor number is the GCF number.
So the greatest common factor 238,600 is 2.


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 6970/238, 3641/600

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 6970/238, 3641/600?

Answer: LCM of Numerators as per given numbers 6970/238, 3641/600 is

LCM of Numerators i.e. for 6970,3641 is 25377770

GCF of denominators i.e. for 238,600 is 2.

Thus, LCM of Fractions is 12688885.Finally, LCM of Fractions for 6970/238, 3641/600 is 12688885.