Least Common Multiple of 6702/38, 3775/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6702/38, 3775/734 quickly i.e. 12650025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6702/38, 3775/734 is 12650025.

LCM(6702/38, 3775/734) = 12650025

LCM of 6702/38, 3775/734

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 6702/38,3775/734

Given numbers are 6702/38,3775/734

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 6702,3775

Least Common Multiple of Numerators i.e. LCM of 6702,3775 is 25300050.

GCF of Denominators means GCF of 38,734 as per the given fractions.

GCF of 38,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6702,3775

LCM of Fractions 6702/38,3775/734 is 12650025

Given numbers has no common factors except 1. So, there LCM is their product i.e 25300050

Least Common Multiple of 6702,3775 with GCF Formula

Least Common Multiple of 6702,3775 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 6702,3775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6702,3775) = 1

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

GCF(6702,3775) x common factors =1 x 1 = 1

LCM(6702,3775) = ( 6702 × 3775 ) / 1

LCM(6702,3775) = 25300050 / 1

LCM(6702,3775) = 25300050


Lets's calculate GCF of 38,734

2 38, 734
19, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25300050/2

Therefore the LCM of Fractions 6702/38,3775/734 is 12650025

Greatest Common Factor of 38,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,734 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 38,734 . The biggest common factor number is the GCF number.
So the greatest common factor 38,734 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 6702/38, 3775/734

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 6702/38, 3775/734?

Answer: LCM of Numerators as per given numbers 6702/38, 3775/734 is

LCM of Numerators i.e. for 6702,3775 is 25300050

GCF of denominators i.e. for 38,734 is 2.

Thus, LCM of Fractions is 12650025.Finally, LCM of Fractions for 6702/38, 3775/734 is 12650025.