Least Common Multiple of 311/87, 723/12, 850/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/87, 723/12, 850/566 quickly i.e. 191125050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/87, 723/12, 850/566 is 191125050.

LCM(311/87, 723/12, 850/566) = 191125050

LCM of 311/87, 723/12, 850/566

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 311/87,723/12,850/566

Given numbers are 311/87,723/12,850/566

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 311,723,850

Least Common Multiple of Numerators i.e. LCM of 311,723,850 is 191125050.

GCF of Denominators means GCF of 87,12,566 as per the given fractions.

GCF of 87,12,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,723,850

LCM of Fractions 311/87,723/12,850/566 is 191125050

Given numbers has no common factors except 1. So, there LCM is their product i.e 191125050

Least Common Multiple of 311,723,850 with GCF Formula

Least Common Multiple of 311,723,850 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 311,723,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,723,850) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(311,723,850) x common factors =1 x 1 = 1

LCM(311,723,850) = ( 311 × 723 × 850 ) / 1

LCM(311,723,850) = 191125050 / 1

LCM(311,723,850) = 191125050


Lets's calculate GCF of 87,12,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191125050/1

Therefore the LCM of Fractions 311/87,723/12,850/566 is 191125050

Greatest Common Factor of 87,12,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,12,566 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 87,12,566 . The biggest common factor number is the GCF number.
So the greatest common factor 87,12,566 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 311/87, 723/12, 850/566

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 311/87, 723/12, 850/566?

Answer: LCM of Numerators as per given numbers 311/87, 723/12, 850/566 is

LCM of Numerators i.e. for 311,723,850 is 191125050

GCF of denominators i.e. for 87,12,566 is 1.

Thus, LCM of Fractions is 191125050.Finally, LCM of Fractions for 311/87, 723/12, 850/566 is 191125050.