Least Common Multiple of 768/55, 718/60, 704/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/55, 718/60, 704/810 quickly i.e. 3032832/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/55, 718/60, 704/810 is 3032832/5.

LCM(768/55, 718/60, 704/810) = 3032832/5

LCM of 768/55, 718/60, 704/810

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 768/55,718/60,704/810

Given numbers are 768/55,718/60,704/810

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 768,718,704

Least Common Multiple of Numerators i.e. LCM of 768,718,704 is 3032832.

GCF of Denominators means GCF of 55,60,810 as per the given fractions.

GCF of 55,60,810 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,718,704

LCM of Fractions 768/55,718/60,704/810 is 3032832/5

2 768, 718, 704
2 384, 359, 352
2 192, 359, 176
2 96, 359, 88
2 48, 359, 44
2 24, 359, 22
12, 359, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 12 x 359 x 11 = 3032832

Least Common Multiple of 768,718,704 with GCF Formula

Least Common Multiple of 768,718,704 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 768,718,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,718,704) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(768,718,704) x common factors =2 x 64 = 128

LCM(768,718,704) = ( 768 × 718 × 704 ) / 128

LCM(768,718,704) = 388202496 / 128

LCM(768,718,704) = 3032832


Lets's calculate GCF of 55,60,810

5 55, 60, 810
11, 12, 162

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3032832/5

Therefore the LCM of Fractions 768/55,718/60,704/810 is 3032832/5

Greatest Common Factor of 55,60,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,60,810 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 55,60,810 . The biggest common factor number is the GCF number.
So the greatest common factor 55,60,810 is 5.


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 768/55, 718/60, 704/810

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 768/55, 718/60, 704/810?

Answer: LCM of Numerators as per given numbers 768/55, 718/60, 704/810 is

LCM of Numerators i.e. for 768,718,704 is 3032832

GCF of denominators i.e. for 55,60,810 is 5.

Thus, LCM of Fractions is 3032832/5.Finally, LCM of Fractions for 768/55, 718/60, 704/810 is 3032832/5.