Least Common Multiple of 6727/807, 6144/9661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6727/807, 6144/9661 quickly i.e. 41330688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6727/807, 6144/9661 is 41330688.

LCM(6727/807, 6144/9661) = 41330688

LCM of 6727/807, 6144/9661

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 6727/807,6144/9661

Given numbers are 6727/807,6144/9661

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 6727,6144

Least Common Multiple of Numerators i.e. LCM of 6727,6144 is 41330688.

GCF of Denominators means GCF of 807,9661 as per the given fractions.

GCF of 807,9661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6727,6144

LCM of Fractions 6727/807,6144/9661 is 41330688

Given numbers has no common factors except 1. So, there LCM is their product i.e 41330688

Least Common Multiple of 6727,6144 with GCF Formula

Least Common Multiple of 6727,6144 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 6727,6144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6727,6144) = 1

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

GCF(6727,6144) x common factors =1 x 1 = 1

LCM(6727,6144) = ( 6727 × 6144 ) / 1

LCM(6727,6144) = 41330688 / 1

LCM(6727,6144) = 41330688


Lets's calculate GCF of 807,9661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41330688/1

Therefore the LCM of Fractions 6727/807,6144/9661 is 41330688

Greatest Common Factor of 807,9661 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,9661 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 9661

List of positive integer factors of 9661 that divides 9661 without a remainder.

1,9661

Greatest Common Factor

We found the factors 807,9661 . The biggest common factor number is the GCF number.
So the greatest common factor 807,9661 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 6727/807, 6144/9661

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 6727/807, 6144/9661?

Answer: LCM of Numerators as per given numbers 6727/807, 6144/9661 is

LCM of Numerators i.e. for 6727,6144 is 41330688

GCF of denominators i.e. for 807,9661 is 1.

Thus, LCM of Fractions is 41330688.Finally, LCM of Fractions for 6727/807, 6144/9661 is 41330688.