Least Common Multiple of 3759/434, 6688/3900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3759/434, 6688/3900 quickly i.e. 12570096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3759/434, 6688/3900 is 12570096.

LCM(3759/434, 6688/3900) = 12570096

LCM of 3759/434, 6688/3900

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 3759/434,6688/3900

Given numbers are 3759/434,6688/3900

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 3759,6688

Least Common Multiple of Numerators i.e. LCM of 3759,6688 is 25140192.

GCF of Denominators means GCF of 434,3900 as per the given fractions.

GCF of 434,3900 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3759,6688

LCM of Fractions 3759/434,6688/3900 is 12570096

Given numbers has no common factors except 1. So, there LCM is their product i.e 25140192

Least Common Multiple of 3759,6688 with GCF Formula

Least Common Multiple of 3759,6688 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 3759,6688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3759,6688) = 1

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

GCF(3759,6688) x common factors =1 x 1 = 1

LCM(3759,6688) = ( 3759 × 6688 ) / 1

LCM(3759,6688) = 25140192 / 1

LCM(3759,6688) = 25140192


Lets's calculate GCF of 434,3900

2 434, 3900
217, 1950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25140192/2

Therefore the LCM of Fractions 3759/434,6688/3900 is 12570096

Greatest Common Factor of 434,3900 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,3900 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 3900

List of positive integer factors of 3900 that divides 3900 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900

Greatest Common Factor

We found the factors 434,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 434,3900 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 3759/434, 6688/3900

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 3759/434, 6688/3900?

Answer: LCM of Numerators as per given numbers 3759/434, 6688/3900 is

LCM of Numerators i.e. for 3759,6688 is 25140192

GCF of denominators i.e. for 434,3900 is 2.

Thus, LCM of Fractions is 12570096.Finally, LCM of Fractions for 3759/434, 6688/3900 is 12570096.