Least Common Multiple of 768/69, 537/28, 556/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/69, 537/28, 556/767 quickly i.e. 19108608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/69, 537/28, 556/767 is 19108608.

LCM(768/69, 537/28, 556/767) = 19108608

LCM of 768/69, 537/28, 556/767

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 768/69,537/28,556/767

Given numbers are 768/69,537/28,556/767

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 768,537,556

Least Common Multiple of Numerators i.e. LCM of 768,537,556 is 19108608.

GCF of Denominators means GCF of 69,28,767 as per the given fractions.

GCF of 69,28,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,537,556

LCM of Fractions 768/69,537/28,556/767 is 19108608

2 768, 537, 556
2 384, 537, 278
3 192, 537, 139
64, 179, 139

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 179 x 139 = 19108608

Least Common Multiple of 768,537,556 with GCF Formula

Least Common Multiple of 768,537,556 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 768,537,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,537,556) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(768,537,556) x common factors =1 x 12 = 12

LCM(768,537,556) = ( 768 × 537 × 556 ) / 12

LCM(768,537,556) = 229303296 / 12

LCM(768,537,556) = 19108608


Lets's calculate GCF of 69,28,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19108608/1

Therefore the LCM of Fractions 768/69,537/28,556/767 is 19108608

Greatest Common Factor of 69,28,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,28,767 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 69,28,767 . The biggest common factor number is the GCF number.
So the greatest common factor 69,28,767 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 768/69, 537/28, 556/767

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 768/69, 537/28, 556/767?

Answer: LCM of Numerators as per given numbers 768/69, 537/28, 556/767 is

LCM of Numerators i.e. for 768,537,556 is 19108608

GCF of denominators i.e. for 69,28,767 is 1.

Thus, LCM of Fractions is 19108608.Finally, LCM of Fractions for 768/69, 537/28, 556/767 is 19108608.