Least Common Multiple of 677/45, 512/96, 768/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/45, 512/96, 768/810 quickly i.e. 346624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/45, 512/96, 768/810 is 346624.

LCM(677/45, 512/96, 768/810) = 346624

LCM of 677/45, 512/96, 768/810

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 677/45,512/96,768/810

Given numbers are 677/45,512/96,768/810

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 677,512,768

Least Common Multiple of Numerators i.e. LCM of 677,512,768 is 1039872.

GCF of Denominators means GCF of 45,96,810 as per the given fractions.

GCF of 45,96,810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,512,768

LCM of Fractions 677/45,512/96,768/810 is 346624

2 677, 512, 768
2 677, 256, 384
2 677, 128, 192
2 677, 64, 96
2 677, 32, 48
2 677, 16, 24
2 677, 8, 12
2 677, 4, 6
677, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 677 x 2 x 3 = 1039872

Least Common Multiple of 677,512,768 with GCF Formula

Least Common Multiple of 677,512,768 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 677,512,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,512,768) = 1

common factors(in case of two or more numbers have common factors) = 256

GCF(677,512,768) x common factors =1 x 256 = 256

LCM(677,512,768) = ( 677 × 512 × 768 ) / 256

LCM(677,512,768) = 266207232 / 256

LCM(677,512,768) = 1039872


Lets's calculate GCF of 45,96,810

3 45, 96, 810
15, 32, 270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1039872/3

Therefore the LCM of Fractions 677/45,512/96,768/810 is 346624

Greatest Common Factor of 45,96,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,96,810 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 45,96,810 . The biggest common factor number is the GCF number.
So the greatest common factor 45,96,810 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 677/45, 512/96, 768/810

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 677/45, 512/96, 768/810?

Answer: LCM of Numerators as per given numbers 677/45, 512/96, 768/810 is

LCM of Numerators i.e. for 677,512,768 is 1039872

GCF of denominators i.e. for 45,96,810 is 3.

Thus, LCM of Fractions is 346624.Finally, LCM of Fractions for 677/45, 512/96, 768/810 is 346624.