Least Common Multiple of 87/56, 73/799, 777/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/56, 73/799, 777/280 quickly i.e. 1644909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/56, 73/799, 777/280 is 1644909.

LCM(87/56, 73/799, 777/280) = 1644909

LCM of 87/56, 73/799, 777/280

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 87/56,73/799,777/280

Given numbers are 87/56,73/799,777/280

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 87,73,777

Least Common Multiple of Numerators i.e. LCM of 87,73,777 is 1644909.

GCF of Denominators means GCF of 56,799,280 as per the given fractions.

GCF of 56,799,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,73,777

LCM of Fractions 87/56,73/799,777/280 is 1644909

3 87, 73, 777
29, 73, 259

∴ So the LCM of the given numbers is 3 x 29 x 73 x 259 = 1644909

Least Common Multiple of 87,73,777 with GCF Formula

Least Common Multiple of 87,73,777 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 87,73,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,73,777) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,73,777) x common factors =1 x 3 = 3

LCM(87,73,777) = ( 87 × 73 × 777 ) / 3

LCM(87,73,777) = 4934727 / 3

LCM(87,73,777) = 1644909


Lets's calculate GCF of 56,799,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1644909/1

Therefore the LCM of Fractions 87/56,73/799,777/280 is 1644909

Greatest Common Factor of 56,799,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,799,280 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 56,799,280 . The biggest common factor number is the GCF number.
So the greatest common factor 56,799,280 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 87/56, 73/799, 777/280

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 87/56, 73/799, 777/280?

Answer: LCM of Numerators as per given numbers 87/56, 73/799, 777/280 is

LCM of Numerators i.e. for 87,73,777 is 1644909

GCF of denominators i.e. for 56,799,280 is 1.

Thus, LCM of Fractions is 1644909.Finally, LCM of Fractions for 87/56, 73/799, 777/280 is 1644909.