Least Common Multiple of 336/70, 123/6508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/70, 123/6508 quickly i.e. 6888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/70, 123/6508 is 6888.

LCM(336/70, 123/6508) = 6888

LCM of 336/70, 123/6508

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 336/70,123/6508

Given numbers are 336/70,123/6508

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 336,123

Least Common Multiple of Numerators i.e. LCM of 336,123 is 13776.

GCF of Denominators means GCF of 70,6508 as per the given fractions.

GCF of 70,6508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,123

LCM of Fractions 336/70,123/6508 is 6888

3 336, 123
112, 41

∴ So the LCM of the given numbers is 3 x 112 x 41 = 13776

Least Common Multiple of 336,123 with GCF Formula

Least Common Multiple of 336,123 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 336,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,123) = 3

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

GCF(336,123) x common factors =3 x 1 = 3

LCM(336,123) = ( 336 × 123 ) / 3

LCM(336,123) = 41328 / 3

LCM(336,123) = 13776


Lets's calculate GCF of 70,6508

2 70, 6508
35, 3254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13776/2

Therefore the LCM of Fractions 336/70,123/6508 is 6888

Greatest Common Factor of 70,6508 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,6508 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 6508

List of positive integer factors of 6508 that divides 6508 without a remainder.

1,2,4,1627,3254,6508

Greatest Common Factor

We found the factors 70,6508 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6508 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 336/70, 123/6508

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 336/70, 123/6508?

Answer: LCM of Numerators as per given numbers 336/70, 123/6508 is

LCM of Numerators i.e. for 336,123 is 13776

GCF of denominators i.e. for 70,6508 is 2.

Thus, LCM of Fractions is 6888.Finally, LCM of Fractions for 336/70, 123/6508 is 6888.