Least Common Multiple of 6971/682, 3777/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6971/682, 3777/651 quickly i.e. 26329467/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6971/682, 3777/651 is 26329467/31.

LCM(6971/682, 3777/651) = 26329467/31

LCM of 6971/682, 3777/651

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 6971/682,3777/651

Given numbers are 6971/682,3777/651

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 6971,3777

Least Common Multiple of Numerators i.e. LCM of 6971,3777 is 26329467.

GCF of Denominators means GCF of 682,651 as per the given fractions.

GCF of 682,651 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6971,3777

LCM of Fractions 6971/682,3777/651 is 26329467/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 26329467

Least Common Multiple of 6971,3777 with GCF Formula

Least Common Multiple of 6971,3777 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 6971,3777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6971,3777) = 1

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

GCF(6971,3777) x common factors =1 x 1 = 1

LCM(6971,3777) = ( 6971 × 3777 ) / 1

LCM(6971,3777) = 26329467 / 1

LCM(6971,3777) = 26329467


Lets's calculate GCF of 682,651

31 682, 651
22, 21

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26329467/31

Therefore the LCM of Fractions 6971/682,3777/651 is 26329467/31

Greatest Common Factor of 682,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,651 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 682,651 . The biggest common factor number is the GCF number.
So the greatest common factor 682,651 is 31.


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 6971/682, 3777/651

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 6971/682, 3777/651?

Answer: LCM of Numerators as per given numbers 6971/682, 3777/651 is

LCM of Numerators i.e. for 6971,3777 is 26329467

GCF of denominators i.e. for 682,651 is 31.

Thus, LCM of Fractions is 26329467/31.Finally, LCM of Fractions for 6971/682, 3777/651 is 26329467/31.