Least Common Multiple of 1412/371, 8056/7914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1412/371, 8056/7914 quickly i.e. 2843768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1412/371, 8056/7914 is 2843768.

LCM(1412/371, 8056/7914) = 2843768

LCM of 1412/371, 8056/7914

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 1412/371,8056/7914

Given numbers are 1412/371,8056/7914

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 1412,8056

Least Common Multiple of Numerators i.e. LCM of 1412,8056 is 2843768.

GCF of Denominators means GCF of 371,7914 as per the given fractions.

GCF of 371,7914 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1412,8056

LCM of Fractions 1412/371,8056/7914 is 2843768

2 1412, 8056
2 706, 4028
353, 2014

∴ So the LCM of the given numbers is 2 x 2 x 353 x 2014 = 2843768

Least Common Multiple of 1412,8056 with GCF Formula

Least Common Multiple of 1412,8056 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 1412,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1412,8056) = 4

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

GCF(1412,8056) x common factors =4 x 1 = 4

LCM(1412,8056) = ( 1412 × 8056 ) / 4

LCM(1412,8056) = 11375072 / 4

LCM(1412,8056) = 2843768


Lets's calculate GCF of 371,7914

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2843768/1

Therefore the LCM of Fractions 1412/371,8056/7914 is 2843768

Greatest Common Factor of 371,7914 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,7914 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 7914

List of positive integer factors of 7914 that divides 7914 without a remainder.

1,2,3,6,1319,2638,3957,7914

Greatest Common Factor

We found the factors 371,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 371,7914 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 1412/371, 8056/7914

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 1412/371, 8056/7914?

Answer: LCM of Numerators as per given numbers 1412/371, 8056/7914 is

LCM of Numerators i.e. for 1412,8056 is 2843768

GCF of denominators i.e. for 371,7914 is 1.

Thus, LCM of Fractions is 2843768.Finally, LCM of Fractions for 1412/371, 8056/7914 is 2843768.