Least Common Multiple of 6922/66, 5760/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6922/66, 5760/671 quickly i.e. 19935360/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6922/66, 5760/671 is 19935360/11.

LCM(6922/66, 5760/671) = 19935360/11

LCM of 6922/66, 5760/671

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 6922/66,5760/671

Given numbers are 6922/66,5760/671

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 6922,5760

Least Common Multiple of Numerators i.e. LCM of 6922,5760 is 19935360.

GCF of Denominators means GCF of 66,671 as per the given fractions.

GCF of 66,671 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6922,5760

LCM of Fractions 6922/66,5760/671 is 19935360/11

2 6922, 5760
3461, 2880

∴ So the LCM of the given numbers is 2 x 3461 x 2880 = 19935360

Least Common Multiple of 6922,5760 with GCF Formula

Least Common Multiple of 6922,5760 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 6922,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6922,5760) = 2

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

GCF(6922,5760) x common factors =2 x 1 = 2

LCM(6922,5760) = ( 6922 × 5760 ) / 2

LCM(6922,5760) = 39870720 / 2

LCM(6922,5760) = 19935360


Lets's calculate GCF of 66,671

11 66, 671
6, 61

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19935360/11

Therefore the LCM of Fractions 6922/66,5760/671 is 19935360/11

Greatest Common Factor of 66,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,671 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 66,671 . The biggest common factor number is the GCF number.
So the greatest common factor 66,671 is 11.


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 6922/66, 5760/671

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 6922/66, 5760/671?

Answer: LCM of Numerators as per given numbers 6922/66, 5760/671 is

LCM of Numerators i.e. for 6922,5760 is 19935360

GCF of denominators i.e. for 66,671 is 11.

Thus, LCM of Fractions is 19935360/11.Finally, LCM of Fractions for 6922/66, 5760/671 is 19935360/11.