Least Common Multiple of 3/612, 11/654, 62/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/612, 11/654, 62/834 quickly i.e. 341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/612, 11/654, 62/834 is 341.

LCM(3/612, 11/654, 62/834) = 341

LCM of 3/612, 11/654, 62/834

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 3/612,11/654,62/834

Given numbers are 3/612,11/654,62/834

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 3,11,62

Least Common Multiple of Numerators i.e. LCM of 3,11,62 is 2046.

GCF of Denominators means GCF of 612,654,834 as per the given fractions.

GCF of 612,654,834 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,11,62

LCM of Fractions 3/612,11/654,62/834 is 341

Given numbers has no common factors except 1. So, there LCM is their product i.e 2046

Least Common Multiple of 3,11,62 with GCF Formula

Least Common Multiple of 3,11,62 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 3,11,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,11,62) = 1

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

GCF(3,11,62) x common factors =1 x 1 = 1

LCM(3,11,62) = ( 3 × 11 × 62 ) / 1

LCM(3,11,62) = 2046 / 1

LCM(3,11,62) = 2046


Lets's calculate GCF of 612,654,834

2 612, 654, 834
3 306, 327, 417
102, 109, 139

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2046/6

Therefore the LCM of Fractions 3/612,11/654,62/834 is 341

Greatest Common Factor of 612,654,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,654,834 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 612,654,834 . The biggest common factor number is the GCF number.
So the greatest common factor 612,654,834 is 6.


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 3/612, 11/654, 62/834

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 3/612, 11/654, 62/834?

Answer: LCM of Numerators as per given numbers 3/612, 11/654, 62/834 is

LCM of Numerators i.e. for 3,11,62 is 2046

GCF of denominators i.e. for 612,654,834 is 6.

Thus, LCM of Fractions is 341.Finally, LCM of Fractions for 3/612, 11/654, 62/834 is 341.