Least Common Multiple of 777/24, 851/96, 487/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/24, 851/96, 487/518 quickly i.e. 8703177/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/24, 851/96, 487/518 is 8703177/2.

LCM(777/24, 851/96, 487/518) = 8703177/2

LCM of 777/24, 851/96, 487/518

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 777/24,851/96,487/518

Given numbers are 777/24,851/96,487/518

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 777,851,487

Least Common Multiple of Numerators i.e. LCM of 777,851,487 is 8703177.

GCF of Denominators means GCF of 24,96,518 as per the given fractions.

GCF of 24,96,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,851,487

LCM of Fractions 777/24,851/96,487/518 is 8703177/2

37 777, 851, 487
21, 23, 487

∴ So the LCM of the given numbers is 37 x 21 x 23 x 487 = 8703177

Least Common Multiple of 777,851,487 with GCF Formula

Least Common Multiple of 777,851,487 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 777,851,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,851,487) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(777,851,487) x common factors =1 x 37 = 37

LCM(777,851,487) = ( 777 × 851 × 487 ) / 37

LCM(777,851,487) = 322017549 / 37

LCM(777,851,487) = 8703177


Lets's calculate GCF of 24,96,518

2 24, 96, 518
12, 48, 259

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8703177/2

Therefore the LCM of Fractions 777/24,851/96,487/518 is 8703177/2

Greatest Common Factor of 24,96,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,96,518 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 24,96,518 . The biggest common factor number is the GCF number.
So the greatest common factor 24,96,518 is 2.


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 777/24, 851/96, 487/518

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 777/24, 851/96, 487/518?

Answer: LCM of Numerators as per given numbers 777/24, 851/96, 487/518 is

LCM of Numerators i.e. for 777,851,487 is 8703177

GCF of denominators i.e. for 24,96,518 is 2.

Thus, LCM of Fractions is 8703177/2.Finally, LCM of Fractions for 777/24, 851/96, 487/518 is 8703177/2.