Least Common Multiple of 15/311, 760/503, 800/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/311, 760/503, 800/567 quickly i.e. 45600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/311, 760/503, 800/567 is 45600.

LCM(15/311, 760/503, 800/567) = 45600

LCM of 15/311, 760/503, 800/567

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 15/311,760/503,800/567

Given numbers are 15/311,760/503,800/567

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 15,760,800

Least Common Multiple of Numerators i.e. LCM of 15,760,800 is 45600.

GCF of Denominators means GCF of 311,503,567 as per the given fractions.

GCF of 311,503,567 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,760,800

LCM of Fractions 15/311,760/503,800/567 is 45600

2 15, 760, 800
2 15, 380, 400
2 15, 190, 200
5 15, 95, 100
3, 19, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 3 x 19 x 20 = 45600

Least Common Multiple of 15,760,800 with GCF Formula

Least Common Multiple of 15,760,800 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 15,760,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,760,800) = 5

common factors(in case of two or more numbers have common factors) = 40

GCF(15,760,800) x common factors =5 x 40 = 200

LCM(15,760,800) = ( 15 × 760 × 800 ) / 200

LCM(15,760,800) = 9120000 / 200

LCM(15,760,800) = 45600


Lets's calculate GCF of 311,503,567

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45600/1

Therefore the LCM of Fractions 15/311,760/503,800/567 is 45600

Greatest Common Factor of 311,503,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,503,567 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 311,503,567 . The biggest common factor number is the GCF number.
So the greatest common factor 311,503,567 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 15/311, 760/503, 800/567

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 15/311, 760/503, 800/567?

Answer: LCM of Numerators as per given numbers 15/311, 760/503, 800/567 is

LCM of Numerators i.e. for 15,760,800 is 45600

GCF of denominators i.e. for 311,503,567 is 1.

Thus, LCM of Fractions is 45600.Finally, LCM of Fractions for 15/311, 760/503, 800/567 is 45600.