Least Common Multiple of 611/462, 854/843, 903/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 611/462, 854/843, 903/706 quickly i.e. 67311426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 611/462, 854/843, 903/706 is 67311426.

LCM(611/462, 854/843, 903/706) = 67311426

LCM of 611/462, 854/843, 903/706

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 611/462,854/843,903/706

Given numbers are 611/462,854/843,903/706

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 611,854,903

Least Common Multiple of Numerators i.e. LCM of 611,854,903 is 67311426.

GCF of Denominators means GCF of 462,843,706 as per the given fractions.

GCF of 462,843,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 611,854,903

LCM of Fractions 611/462,854/843,903/706 is 67311426

7 611, 854, 903
611, 122, 129

∴ So the LCM of the given numbers is 7 x 611 x 122 x 129 = 67311426

Least Common Multiple of 611,854,903 with GCF Formula

Least Common Multiple of 611,854,903 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 611,854,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,854,903) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(611,854,903) x common factors =1 x 7 = 7

LCM(611,854,903) = ( 611 × 854 × 903 ) / 7

LCM(611,854,903) = 471179982 / 7

LCM(611,854,903) = 67311426


Lets's calculate GCF of 462,843,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67311426/1

Therefore the LCM of Fractions 611/462,854/843,903/706 is 67311426

Greatest Common Factor of 462,843,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,843,706 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 462,843,706 . The biggest common factor number is the GCF number.
So the greatest common factor 462,843,706 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 611/462, 854/843, 903/706

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 611/462, 854/843, 903/706?

Answer: LCM of Numerators as per given numbers 611/462, 854/843, 903/706 is

LCM of Numerators i.e. for 611,854,903 is 67311426

GCF of denominators i.e. for 462,843,706 is 1.

Thus, LCM of Fractions is 67311426.Finally, LCM of Fractions for 611/462, 854/843, 903/706 is 67311426.