Least Common Multiple of 398/76, 747/3682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/76, 747/3682 quickly i.e. 148653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/76, 747/3682 is 148653.

LCM(398/76, 747/3682) = 148653

LCM of 398/76, 747/3682

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 398/76,747/3682

Given numbers are 398/76,747/3682

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 398,747

Least Common Multiple of Numerators i.e. LCM of 398,747 is 297306.

GCF of Denominators means GCF of 76,3682 as per the given fractions.

GCF of 76,3682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,747

LCM of Fractions 398/76,747/3682 is 148653

Given numbers has no common factors except 1. So, there LCM is their product i.e 297306

Least Common Multiple of 398,747 with GCF Formula

Least Common Multiple of 398,747 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 398,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,747) = 1

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

GCF(398,747) x common factors =1 x 1 = 1

LCM(398,747) = ( 398 × 747 ) / 1

LCM(398,747) = 297306 / 1

LCM(398,747) = 297306


Lets's calculate GCF of 76,3682

2 76, 3682
38, 1841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 297306/2

Therefore the LCM of Fractions 398/76,747/3682 is 148653

Greatest Common Factor of 76,3682 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,3682 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 3682

List of positive integer factors of 3682 that divides 3682 without a remainder.

1,2,7,14,263,526,1841,3682

Greatest Common Factor

We found the factors 76,3682 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3682 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 398/76, 747/3682

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 398/76, 747/3682?

Answer: LCM of Numerators as per given numbers 398/76, 747/3682 is

LCM of Numerators i.e. for 398,747 is 297306

GCF of denominators i.e. for 76,3682 is 2.

Thus, LCM of Fractions is 148653.Finally, LCM of Fractions for 398/76, 747/3682 is 148653.