Least Common Multiple of 718/771, 800/533, 898/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 718/771, 800/533, 898/792 quickly i.e. 128952800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/771, 800/533, 898/792 is 128952800.

LCM(718/771, 800/533, 898/792) = 128952800

LCM of 718/771, 800/533, 898/792

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 718/771,800/533,898/792

Given numbers are 718/771,800/533,898/792

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 718,800,898

Least Common Multiple of Numerators i.e. LCM of 718,800,898 is 128952800.

GCF of Denominators means GCF of 771,533,792 as per the given fractions.

GCF of 771,533,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,800,898

LCM of Fractions 718/771,800/533,898/792 is 128952800

2 718, 800, 898
359, 400, 449

∴ So the LCM of the given numbers is 2 x 359 x 400 x 449 = 128952800

Least Common Multiple of 718,800,898 with GCF Formula

Least Common Multiple of 718,800,898 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 718,800,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,800,898) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(718,800,898) x common factors =2 x 2 = 4

LCM(718,800,898) = ( 718 × 800 × 898 ) / 4

LCM(718,800,898) = 515811200 / 4

LCM(718,800,898) = 128952800


Lets's calculate GCF of 771,533,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128952800/1

Therefore the LCM of Fractions 718/771,800/533,898/792 is 128952800

Greatest Common Factor of 771,533,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,533,792 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 771,533,792 . The biggest common factor number is the GCF number.
So the greatest common factor 771,533,792 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 718/771, 800/533, 898/792

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 718/771, 800/533, 898/792?

Answer: LCM of Numerators as per given numbers 718/771, 800/533, 898/792 is

LCM of Numerators i.e. for 718,800,898 is 128952800

GCF of denominators i.e. for 771,533,792 is 1.

Thus, LCM of Fractions is 128952800.Finally, LCM of Fractions for 718/771, 800/533, 898/792 is 128952800.