Least Common Multiple of 336/506, 1530/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/506, 1530/506 quickly i.e. 85680/506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/506, 1530/506 is 85680/506.

LCM(336/506, 1530/506) = 85680/506

LCM of 336/506, 1530/506

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 336/506,1530/506

Given numbers are 336/506,1530/506

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 336,1530

Least Common Multiple of Numerators i.e. LCM of 336,1530 is 85680.

GCF of Denominators means GCF of 506,506 as per the given fractions.

GCF of 506,506 is 506 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,1530

LCM of Fractions 336/506,1530/506 is 85680/506

2 336, 1530
3 168, 765
56, 255

∴ So the LCM of the given numbers is 2 x 3 x 56 x 255 = 85680

Least Common Multiple of 336,1530 with GCF Formula

Least Common Multiple of 336,1530 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 336,1530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,1530) = 6

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

GCF(336,1530) x common factors =6 x 1 = 6

LCM(336,1530) = ( 336 × 1530 ) / 6

LCM(336,1530) = 514080 / 6

LCM(336,1530) = 85680


Lets's calculate GCF of 506,506

2 506, 506
11 253, 253
23 23, 23
1, 1

∴ So the GCF of the given numbers is 2 x 11 x 23 = 506

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85680/506

Therefore the LCM of Fractions 336/506,1530/506 is 85680/506

Greatest Common Factor of 506,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,506 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

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


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 336/506, 1530/506

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 336/506, 1530/506?

Answer: LCM of Numerators as per given numbers 336/506, 1530/506 is

LCM of Numerators i.e. for 336,1530 is 85680

GCF of denominators i.e. for 506,506 is 506.

Thus, LCM of Fractions is 85680/506.Finally, LCM of Fractions for 336/506, 1530/506 is 85680/506.