Least Common Multiple of 1406/732, 1912/2406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1406/732, 1912/2406 quickly i.e. 1344136/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1406/732, 1912/2406 is 1344136/6.

LCM(1406/732, 1912/2406) = 1344136/6

LCM of 1406/732, 1912/2406

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 1406/732,1912/2406

Given numbers are 1406/732,1912/2406

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 1406,1912

Least Common Multiple of Numerators i.e. LCM of 1406,1912 is 1344136.

GCF of Denominators means GCF of 732,2406 as per the given fractions.

GCF of 732,2406 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1406,1912

LCM of Fractions 1406/732,1912/2406 is 1344136/6

2 1406, 1912
703, 956

∴ So the LCM of the given numbers is 2 x 703 x 956 = 1344136

Least Common Multiple of 1406,1912 with GCF Formula

Least Common Multiple of 1406,1912 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 1406,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1406,1912) = 2

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

GCF(1406,1912) x common factors =2 x 1 = 2

LCM(1406,1912) = ( 1406 × 1912 ) / 2

LCM(1406,1912) = 2688272 / 2

LCM(1406,1912) = 1344136


Lets's calculate GCF of 732,2406

2 732, 2406
3 366, 1203
122, 401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1344136/6

Therefore the LCM of Fractions 1406/732,1912/2406 is 1344136/6

Greatest Common Factor of 732,2406 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,2406 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 2406

List of positive integer factors of 2406 that divides 2406 without a remainder.

1,2,3,6,401,802,1203,2406

Greatest Common Factor

We found the factors 732,2406 . The biggest common factor number is the GCF number.
So the greatest common factor 732,2406 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 1406/732, 1912/2406

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 1406/732, 1912/2406?

Answer: LCM of Numerators as per given numbers 1406/732, 1912/2406 is

LCM of Numerators i.e. for 1406,1912 is 1344136

GCF of denominators i.e. for 732,2406 is 6.

Thus, LCM of Fractions is 1344136/6.Finally, LCM of Fractions for 1406/732, 1912/2406 is 1344136/6.