Least Common Multiple of 46/536, 31/818, 571/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/536, 31/818, 571/682 quickly i.e. 407123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/536, 31/818, 571/682 is 407123.

LCM(46/536, 31/818, 571/682) = 407123

LCM of 46/536, 31/818, 571/682

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 46/536,31/818,571/682

Given numbers are 46/536,31/818,571/682

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 46,31,571

Least Common Multiple of Numerators i.e. LCM of 46,31,571 is 814246.

GCF of Denominators means GCF of 536,818,682 as per the given fractions.

GCF of 536,818,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,31,571

LCM of Fractions 46/536,31/818,571/682 is 407123

Given numbers has no common factors except 1. So, there LCM is their product i.e 814246

Least Common Multiple of 46,31,571 with GCF Formula

Least Common Multiple of 46,31,571 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 46,31,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,31,571) = 1

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

GCF(46,31,571) x common factors =1 x 1 = 1

LCM(46,31,571) = ( 46 × 31 × 571 ) / 1

LCM(46,31,571) = 814246 / 1

LCM(46,31,571) = 814246


Lets's calculate GCF of 536,818,682

2 536, 818, 682
268, 409, 341

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 814246/2

Therefore the LCM of Fractions 46/536,31/818,571/682 is 407123

Greatest Common Factor of 536,818,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,818,682 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 536,818,682 . The biggest common factor number is the GCF number.
So the greatest common factor 536,818,682 is 2.


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 46/536, 31/818, 571/682

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 46/536, 31/818, 571/682?

Answer: LCM of Numerators as per given numbers 46/536, 31/818, 571/682 is

LCM of Numerators i.e. for 46,31,571 is 814246

GCF of denominators i.e. for 536,818,682 is 2.

Thus, LCM of Fractions is 407123.Finally, LCM of Fractions for 46/536, 31/818, 571/682 is 407123.