Least Common Multiple of 1387/622, 6835/7716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1387/622, 6835/7716 quickly i.e. 9480145/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1387/622, 6835/7716 is 9480145/2.

LCM(1387/622, 6835/7716) = 9480145/2

LCM of 1387/622, 6835/7716

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 1387/622,6835/7716

Given numbers are 1387/622,6835/7716

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 1387,6835

Least Common Multiple of Numerators i.e. LCM of 1387,6835 is 9480145.

GCF of Denominators means GCF of 622,7716 as per the given fractions.

GCF of 622,7716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1387,6835

LCM of Fractions 1387/622,6835/7716 is 9480145/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 9480145

Least Common Multiple of 1387,6835 with GCF Formula

Least Common Multiple of 1387,6835 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 1387,6835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1387,6835) = 1

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

GCF(1387,6835) x common factors =1 x 1 = 1

LCM(1387,6835) = ( 1387 × 6835 ) / 1

LCM(1387,6835) = 9480145 / 1

LCM(1387,6835) = 9480145


Lets's calculate GCF of 622,7716

2 622, 7716
311, 3858

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9480145/2

Therefore the LCM of Fractions 1387/622,6835/7716 is 9480145/2

Greatest Common Factor of 622,7716 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,7716 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors 622,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 622,7716 is 2.


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 1387/622, 6835/7716

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 1387/622, 6835/7716?

Answer: LCM of Numerators as per given numbers 1387/622, 6835/7716 is

LCM of Numerators i.e. for 1387,6835 is 9480145

GCF of denominators i.e. for 622,7716 is 2.

Thus, LCM of Fractions is 9480145/2.Finally, LCM of Fractions for 1387/622, 6835/7716 is 9480145/2.