Least Common Multiple of 381/69, 506/7734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/69, 506/7734 quickly i.e. 64262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/69, 506/7734 is 64262.

LCM(381/69, 506/7734) = 64262

LCM of 381/69, 506/7734

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 381/69,506/7734

Given numbers are 381/69,506/7734

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 381,506

Least Common Multiple of Numerators i.e. LCM of 381,506 is 192786.

GCF of Denominators means GCF of 69,7734 as per the given fractions.

GCF of 69,7734 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,506

LCM of Fractions 381/69,506/7734 is 64262

Given numbers has no common factors except 1. So, there LCM is their product i.e 192786

Least Common Multiple of 381,506 with GCF Formula

Least Common Multiple of 381,506 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 381,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,506) = 1

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

GCF(381,506) x common factors =1 x 1 = 1

LCM(381,506) = ( 381 × 506 ) / 1

LCM(381,506) = 192786 / 1

LCM(381,506) = 192786


Lets's calculate GCF of 69,7734

3 69, 7734
23, 2578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192786/3

Therefore the LCM of Fractions 381/69,506/7734 is 64262

Greatest Common Factor of 69,7734 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,7734 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1,2,3,6,1289,2578,3867,7734

Greatest Common Factor

We found the factors 69,7734 . The biggest common factor number is the GCF number.
So the greatest common factor 69,7734 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 381/69, 506/7734

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 381/69, 506/7734?

Answer: LCM of Numerators as per given numbers 381/69, 506/7734 is

LCM of Numerators i.e. for 381,506 is 192786

GCF of denominators i.e. for 69,7734 is 3.

Thus, LCM of Fractions is 64262.Finally, LCM of Fractions for 381/69, 506/7734 is 64262.