Least Common Multiple of 6930/161, 1648/5587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6930/161, 1648/5587 quickly i.e. 5710320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6930/161, 1648/5587 is 5710320.

LCM(6930/161, 1648/5587) = 5710320

LCM of 6930/161, 1648/5587

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 6930/161,1648/5587

Given numbers are 6930/161,1648/5587

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 6930,1648

Least Common Multiple of Numerators i.e. LCM of 6930,1648 is 5710320.

GCF of Denominators means GCF of 161,5587 as per the given fractions.

GCF of 161,5587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6930,1648

LCM of Fractions 6930/161,1648/5587 is 5710320

2 6930, 1648
3465, 824

∴ So the LCM of the given numbers is 2 x 3465 x 824 = 5710320

Least Common Multiple of 6930,1648 with GCF Formula

Least Common Multiple of 6930,1648 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 6930,1648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6930,1648) = 2

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

GCF(6930,1648) x common factors =2 x 1 = 2

LCM(6930,1648) = ( 6930 × 1648 ) / 2

LCM(6930,1648) = 11420640 / 2

LCM(6930,1648) = 5710320


Lets's calculate GCF of 161,5587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5710320/1

Therefore the LCM of Fractions 6930/161,1648/5587 is 5710320

Greatest Common Factor of 161,5587 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,5587 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 5587

List of positive integer factors of 5587 that divides 5587 without a remainder.

1,37,151,5587

Greatest Common Factor

We found the factors 161,5587 . The biggest common factor number is the GCF number.
So the greatest common factor 161,5587 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 6930/161, 1648/5587

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 6930/161, 1648/5587?

Answer: LCM of Numerators as per given numbers 6930/161, 1648/5587 is

LCM of Numerators i.e. for 6930,1648 is 5710320

GCF of denominators i.e. for 161,5587 is 1.

Thus, LCM of Fractions is 5710320.Finally, LCM of Fractions for 6930/161, 1648/5587 is 5710320.