Least Common Multiple of 506/30, 760/9682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/30, 760/9682 quickly i.e. 96140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/30, 760/9682 is 96140.

LCM(506/30, 760/9682) = 96140

LCM of 506/30, 760/9682

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 506/30,760/9682

Given numbers are 506/30,760/9682

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 506,760

Least Common Multiple of Numerators i.e. LCM of 506,760 is 192280.

GCF of Denominators means GCF of 30,9682 as per the given fractions.

GCF of 30,9682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,760

LCM of Fractions 506/30,760/9682 is 96140

2 506, 760
253, 380

∴ So the LCM of the given numbers is 2 x 253 x 380 = 192280

Least Common Multiple of 506,760 with GCF Formula

Least Common Multiple of 506,760 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 506,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,760) = 2

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

GCF(506,760) x common factors =2 x 1 = 2

LCM(506,760) = ( 506 × 760 ) / 2

LCM(506,760) = 384560 / 2

LCM(506,760) = 192280


Lets's calculate GCF of 30,9682

2 30, 9682
15, 4841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192280/2

Therefore the LCM of Fractions 506/30,760/9682 is 96140

Greatest Common Factor of 30,9682 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,9682 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 9682

List of positive integer factors of 9682 that divides 9682 without a remainder.

1,2,47,94,103,206,4841,9682

Greatest Common Factor

We found the factors 30,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 30,9682 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 506/30, 760/9682

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 506/30, 760/9682?

Answer: LCM of Numerators as per given numbers 506/30, 760/9682 is

LCM of Numerators i.e. for 506,760 is 192280

GCF of denominators i.e. for 30,9682 is 2.

Thus, LCM of Fractions is 96140.Finally, LCM of Fractions for 506/30, 760/9682 is 96140.