Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 648/961, 6735/307 quickly i.e. 1454760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 648/961, 6735/307 is 1454760.
LCM(648/961, 6735/307) = 1454760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 648/961,6735/307
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 648,6735
Least Common Multiple of Numerators i.e. LCM of 648,6735 is 1454760.
GCF of Denominators means GCF of 961,307 as per the given fractions.
GCF of 961,307 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 648,6735
3 | 648, 6735 |
216, 2245 |
∴ So the LCM of the given numbers is 3 x 216 x 2245 = 1454760
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 648,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6735) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6735) x common factors =3 x 1 = 3
LCM(648,6735) = ( 648 × 6735 ) / 3
LCM(648,6735) = 4364280 / 3
LCM(648,6735) = 1454760
Lets's calculate GCF of 961,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1454760/1
Therefore the LCM of Fractions 648/961,6735/307 is 1454760
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Greatest Common Factor
We found the factors 961,307 . The biggest common factor number is the GCF number.
So the greatest common factor 961,307 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 648/961, 6735/307?
Answer: LCM of Numerators as per given numbers 648/961, 6735/307 is
LCM of Numerators i.e. for 648,6735 is 1454760
GCF of denominators i.e. for 961,307 is 1.
Thus, LCM of Fractions is 1454760.Finally, LCM of Fractions for 648/961, 6735/307 is 1454760.