Least Common Multiple of 30/277, 54/439, 800/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/277, 54/439, 800/817 quickly i.e. 21600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/277, 54/439, 800/817 is 21600.

LCM(30/277, 54/439, 800/817) = 21600

LCM of 30/277, 54/439, 800/817

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 30/277,54/439,800/817

Given numbers are 30/277,54/439,800/817

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 30,54,800

Least Common Multiple of Numerators i.e. LCM of 30,54,800 is 21600.

GCF of Denominators means GCF of 277,439,817 as per the given fractions.

GCF of 277,439,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,54,800

LCM of Fractions 30/277,54/439,800/817 is 21600

2 30, 54, 800
3 15, 27, 400
5 5, 9, 400
1, 9, 80

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 9 x 80 = 21600

Least Common Multiple of 30,54,800 with GCF Formula

Least Common Multiple of 30,54,800 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 30,54,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,54,800) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(30,54,800) x common factors =2 x 30 = 60

LCM(30,54,800) = ( 30 × 54 × 800 ) / 60

LCM(30,54,800) = 1296000 / 60

LCM(30,54,800) = 21600


Lets's calculate GCF of 277,439,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/1

Therefore the LCM of Fractions 30/277,54/439,800/817 is 21600

Greatest Common Factor of 277,439,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 277,439,817 By Matching Biggest Common Factor Method

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 277,439,817 . The biggest common factor number is the GCF number.
So the greatest common factor 277,439,817 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 30/277, 54/439, 800/817

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 30/277, 54/439, 800/817?

Answer: LCM of Numerators as per given numbers 30/277, 54/439, 800/817 is

LCM of Numerators i.e. for 30,54,800 is 21600

GCF of denominators i.e. for 277,439,817 is 1.

Thus, LCM of Fractions is 21600.Finally, LCM of Fractions for 30/277, 54/439, 800/817 is 21600.