Least Common Multiple of 71/453, 17/728, 863/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/453, 17/728, 863/562 quickly i.e. 1041641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/453, 17/728, 863/562 is 1041641.

LCM(71/453, 17/728, 863/562) = 1041641

LCM of 71/453, 17/728, 863/562

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 71/453,17/728,863/562

Given numbers are 71/453,17/728,863/562

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 71,17,863

Least Common Multiple of Numerators i.e. LCM of 71,17,863 is 1041641.

GCF of Denominators means GCF of 453,728,562 as per the given fractions.

GCF of 453,728,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,17,863

LCM of Fractions 71/453,17/728,863/562 is 1041641

Given numbers has no common factors except 1. So, there LCM is their product i.e 1041641

Least Common Multiple of 71,17,863 with GCF Formula

Least Common Multiple of 71,17,863 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 71,17,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,17,863) = 1

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

GCF(71,17,863) x common factors =1 x 1 = 1

LCM(71,17,863) = ( 71 × 17 × 863 ) / 1

LCM(71,17,863) = 1041641 / 1

LCM(71,17,863) = 1041641


Lets's calculate GCF of 453,728,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1041641/1

Therefore the LCM of Fractions 71/453,17/728,863/562 is 1041641

Greatest Common Factor of 453,728,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,728,562 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 453,728,562 . The biggest common factor number is the GCF number.
So the greatest common factor 453,728,562 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 71/453, 17/728, 863/562

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 71/453, 17/728, 863/562?

Answer: LCM of Numerators as per given numbers 71/453, 17/728, 863/562 is

LCM of Numerators i.e. for 71,17,863 is 1041641

GCF of denominators i.e. for 453,728,562 is 1.

Thus, LCM of Fractions is 1041641.Finally, LCM of Fractions for 71/453, 17/728, 863/562 is 1041641.