Least Common Multiple of 67/862, 46/541, 571/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/862, 46/541, 571/581 quickly i.e. 1759822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/862, 46/541, 571/581 is 1759822.

LCM(67/862, 46/541, 571/581) = 1759822

LCM of 67/862, 46/541, 571/581

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 67/862,46/541,571/581

Given numbers are 67/862,46/541,571/581

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 67,46,571

Least Common Multiple of Numerators i.e. LCM of 67,46,571 is 1759822.

GCF of Denominators means GCF of 862,541,581 as per the given fractions.

GCF of 862,541,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,46,571

LCM of Fractions 67/862,46/541,571/581 is 1759822

Given numbers has no common factors except 1. So, there LCM is their product i.e 1759822

Least Common Multiple of 67,46,571 with GCF Formula

Least Common Multiple of 67,46,571 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 67,46,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,46,571) = 1

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

GCF(67,46,571) x common factors =1 x 1 = 1

LCM(67,46,571) = ( 67 × 46 × 571 ) / 1

LCM(67,46,571) = 1759822 / 1

LCM(67,46,571) = 1759822


Lets's calculate GCF of 862,541,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1759822/1

Therefore the LCM of Fractions 67/862,46/541,571/581 is 1759822

Greatest Common Factor of 862,541,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,541,581 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 862,541,581 . The biggest common factor number is the GCF number.
So the greatest common factor 862,541,581 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 67/862, 46/541, 571/581

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 67/862, 46/541, 571/581?

Answer: LCM of Numerators as per given numbers 67/862, 46/541, 571/581 is

LCM of Numerators i.e. for 67,46,571 is 1759822

GCF of denominators i.e. for 862,541,581 is 1.

Thus, LCM of Fractions is 1759822.Finally, LCM of Fractions for 67/862, 46/541, 571/581 is 1759822.