Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/441, 7567/3090 quickly i.e. 151340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/441, 7567/3090 is 151340.
LCM(60/441, 7567/3090) = 151340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/441,7567/3090
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 60,7567
Least Common Multiple of Numerators i.e. LCM of 60,7567 is 454020.
GCF of Denominators means GCF of 441,3090 as per the given fractions.
GCF of 441,3090 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,7567
Given numbers has no common factors except 1. So, there LCM is their product i.e 454020
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 60,7567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,7567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,7567) x common factors =1 x 1 = 1
LCM(60,7567) = ( 60 × 7567 ) / 1
LCM(60,7567) = 454020 / 1
LCM(60,7567) = 454020
Lets's calculate GCF of 441,3090
3 | 441, 3090 |
147, 1030 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454020/3
Therefore the LCM of Fractions 60/441,7567/3090 is 151340
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 3090
List of positive integer factors of 3090 that divides 3090 without a remainder.
1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Greatest Common Factor
We found the factors 441,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 441,3090 is 3.
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 60/441, 7567/3090?
Answer: LCM of Numerators as per given numbers 60/441, 7567/3090 is
LCM of Numerators i.e. for 60,7567 is 454020
GCF of denominators i.e. for 441,3090 is 3.
Thus, LCM of Fractions is 151340.Finally, LCM of Fractions for 60/441, 7567/3090 is 151340.