Least Common Multiple of 69/510, 46/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/510, 46/102 quickly i.e. 138/102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/510, 46/102 is 138/102.

LCM(69/510, 46/102) = 138/102

LCM of 69/510, 46/102

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 69/510,46/102

Given numbers are 69/510,46/102

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 69,46

Least Common Multiple of Numerators i.e. LCM of 69,46 is 138.

GCF of Denominators means GCF of 510,102 as per the given fractions.

GCF of 510,102 is 102 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,46

LCM of Fractions 69/510,46/102 is 138/102

23 69, 46
3, 2

∴ So the LCM of the given numbers is 23 x 3 x 2 = 138

Least Common Multiple of 69,46 with GCF Formula

Least Common Multiple of 69,46 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 69,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,46) = 23

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

GCF(69,46) x common factors =23 x 1 = 23

LCM(69,46) = ( 69 × 46 ) / 23

LCM(69,46) = 3174 / 23

LCM(69,46) = 138


Lets's calculate GCF of 510,102

2 510, 102
3 255, 51
17 85, 17
5, 1

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138/102

Therefore the LCM of Fractions 69/510,46/102 is 138/102

Greatest Common Factor of 510,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,102 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 510,102 . The biggest common factor number is the GCF number.
So the greatest common factor 510,102 is 102.


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 69/510, 46/102

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 69/510, 46/102?

Answer: LCM of Numerators as per given numbers 69/510, 46/102 is

LCM of Numerators i.e. for 69,46 is 138

GCF of denominators i.e. for 510,102 is 102.

Thus, LCM of Fractions is 138/102.Finally, LCM of Fractions for 69/510, 46/102 is 138/102.