Least Common Multiple of 768/87, 146/3318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/87, 146/3318 quickly i.e. 18688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/87, 146/3318 is 18688.

LCM(768/87, 146/3318) = 18688

LCM of 768/87, 146/3318

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 768/87,146/3318

Given numbers are 768/87,146/3318

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 768,146

Least Common Multiple of Numerators i.e. LCM of 768,146 is 56064.

GCF of Denominators means GCF of 87,3318 as per the given fractions.

GCF of 87,3318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,146

LCM of Fractions 768/87,146/3318 is 18688

2 768, 146
384, 73

∴ So the LCM of the given numbers is 2 x 384 x 73 = 56064

Least Common Multiple of 768,146 with GCF Formula

Least Common Multiple of 768,146 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 768,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,146) = 2

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

GCF(768,146) x common factors =2 x 1 = 2

LCM(768,146) = ( 768 × 146 ) / 2

LCM(768,146) = 112128 / 2

LCM(768,146) = 56064


Lets's calculate GCF of 87,3318

3 87, 3318
29, 1106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56064/3

Therefore the LCM of Fractions 768/87,146/3318 is 18688

Greatest Common Factor of 87,3318 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,3318 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Greatest Common Factor

We found the factors 87,3318 . The biggest common factor number is the GCF number.
So the greatest common factor 87,3318 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 768/87, 146/3318

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 768/87, 146/3318?

Answer: LCM of Numerators as per given numbers 768/87, 146/3318 is

LCM of Numerators i.e. for 768,146 is 56064

GCF of denominators i.e. for 87,3318 is 3.

Thus, LCM of Fractions is 18688.Finally, LCM of Fractions for 768/87, 146/3318 is 18688.