Least Common Multiple of 48/765, 92/257, 408/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/765, 92/257, 408/336 quickly i.e. 18768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/765, 92/257, 408/336 is 18768.

LCM(48/765, 92/257, 408/336) = 18768

LCM of 48/765, 92/257, 408/336

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 48/765,92/257,408/336

Given numbers are 48/765,92/257,408/336

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 48,92,408

Least Common Multiple of Numerators i.e. LCM of 48,92,408 is 18768.

GCF of Denominators means GCF of 765,257,336 as per the given fractions.

GCF of 765,257,336 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,92,408

LCM of Fractions 48/765,92/257,408/336 is 18768

2 48, 92, 408
2 24, 46, 204
2 12, 23, 102
3 6, 23, 51
2, 23, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 23 x 17 = 18768

Least Common Multiple of 48,92,408 with GCF Formula

Least Common Multiple of 48,92,408 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 48,92,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,92,408) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(48,92,408) x common factors =4 x 24 = 96

LCM(48,92,408) = ( 48 × 92 × 408 ) / 96

LCM(48,92,408) = 1801728 / 96

LCM(48,92,408) = 18768


Lets's calculate GCF of 765,257,336

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18768/1

Therefore the LCM of Fractions 48/765,92/257,408/336 is 18768

Greatest Common Factor of 765,257,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,257,336 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 765,257,336 . The biggest common factor number is the GCF number.
So the greatest common factor 765,257,336 is 1.


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 48/765, 92/257, 408/336

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 48/765, 92/257, 408/336?

Answer: LCM of Numerators as per given numbers 48/765, 92/257, 408/336 is

LCM of Numerators i.e. for 48,92,408 is 18768

GCF of denominators i.e. for 765,257,336 is 1.

Thus, LCM of Fractions is 18768.Finally, LCM of Fractions for 48/765, 92/257, 408/336 is 18768.