Least Common Multiple of 312/71, 505/72, 458/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/71, 505/72, 458/823 quickly i.e. 36081240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/71, 505/72, 458/823 is 36081240.

LCM(312/71, 505/72, 458/823) = 36081240

LCM of 312/71, 505/72, 458/823

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 312/71,505/72,458/823

Given numbers are 312/71,505/72,458/823

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 312,505,458

Least Common Multiple of Numerators i.e. LCM of 312,505,458 is 36081240.

GCF of Denominators means GCF of 71,72,823 as per the given fractions.

GCF of 71,72,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,505,458

LCM of Fractions 312/71,505/72,458/823 is 36081240

2 312, 505, 458
156, 505, 229

∴ So the LCM of the given numbers is 2 x 156 x 505 x 229 = 36081240

Least Common Multiple of 312,505,458 with GCF Formula

Least Common Multiple of 312,505,458 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 312,505,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,505,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(312,505,458) x common factors =1 x 2 = 2

LCM(312,505,458) = ( 312 × 505 × 458 ) / 2

LCM(312,505,458) = 72162480 / 2

LCM(312,505,458) = 36081240


Lets's calculate GCF of 71,72,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36081240/1

Therefore the LCM of Fractions 312/71,505/72,458/823 is 36081240

Greatest Common Factor of 71,72,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,72,823 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 71,72,823 . The biggest common factor number is the GCF number.
So the greatest common factor 71,72,823 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 312/71, 505/72, 458/823

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 312/71, 505/72, 458/823?

Answer: LCM of Numerators as per given numbers 312/71, 505/72, 458/823 is

LCM of Numerators i.e. for 312,505,458 is 36081240

GCF of denominators i.e. for 71,72,823 is 1.

Thus, LCM of Fractions is 36081240.Finally, LCM of Fractions for 312/71, 505/72, 458/823 is 36081240.