Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8265/554, 9320/3701 quickly i.e. 15405960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8265/554, 9320/3701 is 15405960.
LCM(8265/554, 9320/3701) = 15405960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8265/554,9320/3701
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 8265,9320
Least Common Multiple of Numerators i.e. LCM of 8265,9320 is 15405960.
GCF of Denominators means GCF of 554,3701 as per the given fractions.
GCF of 554,3701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8265,9320
5 | 8265, 9320 |
1653, 1864 |
∴ So the LCM of the given numbers is 5 x 1653 x 1864 = 15405960
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 8265,9320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8265,9320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8265,9320) x common factors =5 x 1 = 5
LCM(8265,9320) = ( 8265 × 9320 ) / 5
LCM(8265,9320) = 77029800 / 5
LCM(8265,9320) = 15405960
Lets's calculate GCF of 554,3701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15405960/1
Therefore the LCM of Fractions 8265/554,9320/3701 is 15405960
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1,3701
Greatest Common Factor
We found the factors 554,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 554,3701 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 8265/554, 9320/3701?
Answer: LCM of Numerators as per given numbers 8265/554, 9320/3701 is
LCM of Numerators i.e. for 8265,9320 is 15405960
GCF of denominators i.e. for 554,3701 is 1.
Thus, LCM of Fractions is 15405960.Finally, LCM of Fractions for 8265/554, 9320/3701 is 15405960.