Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3310/552, 1295/7390 quickly i.e. 428645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3310/552, 1295/7390 is 428645.
LCM(3310/552, 1295/7390) = 428645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3310/552,1295/7390
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 3310,1295
Least Common Multiple of Numerators i.e. LCM of 3310,1295 is 857290.
GCF of Denominators means GCF of 552,7390 as per the given fractions.
GCF of 552,7390 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3310,1295
5 | 3310, 1295 |
662, 259 |
∴ So the LCM of the given numbers is 5 x 662 x 259 = 857290
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 3310,1295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3310,1295) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(3310,1295) x common factors =5 x 1 = 5
LCM(3310,1295) = ( 3310 × 1295 ) / 5
LCM(3310,1295) = 4286450 / 5
LCM(3310,1295) = 857290
Lets's calculate GCF of 552,7390
2 | 552, 7390 |
276, 3695 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 857290/2
Therefore the LCM of Fractions 3310/552,1295/7390 is 428645
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 7390
List of positive integer factors of 7390 that divides 7390 without a remainder.
1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 552,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 552,7390 is 2.
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 3310/552, 1295/7390?
Answer: LCM of Numerators as per given numbers 3310/552, 1295/7390 is
LCM of Numerators i.e. for 3310,1295 is 857290
GCF of denominators i.e. for 552,7390 is 2.
Thus, LCM of Fractions is 428645.Finally, LCM of Fractions for 3310/552, 1295/7390 is 428645.