Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3260/632, 9105/352 quickly i.e. 5936460/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3260/632, 9105/352 is 5936460/8.
LCM(3260/632, 9105/352) = 5936460/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3260/632,9105/352
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 3260,9105
Least Common Multiple of Numerators i.e. LCM of 3260,9105 is 5936460.
GCF of Denominators means GCF of 632,352 as per the given fractions.
GCF of 632,352 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3260,9105
5 | 3260, 9105 |
652, 1821 |
∴ So the LCM of the given numbers is 5 x 652 x 1821 = 5936460
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 3260,9105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3260,9105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(3260,9105) x common factors =5 x 1 = 5
LCM(3260,9105) = ( 3260 × 9105 ) / 5
LCM(3260,9105) = 29682300 / 5
LCM(3260,9105) = 5936460
Lets's calculate GCF of 632,352
2 | 632, 352 |
2 | 316, 176 |
2 | 158, 88 |
79, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5936460/8
Therefore the LCM of Fractions 3260/632,9105/352 is 5936460/8
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 632,352 . The biggest common factor number is the GCF number.
So the greatest common factor 632,352 is 8.
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 3260/632, 9105/352?
Answer: LCM of Numerators as per given numbers 3260/632, 9105/352 is
LCM of Numerators i.e. for 3260,9105 is 5936460
GCF of denominators i.e. for 632,352 is 8.
Thus, LCM of Fractions is 5936460/8.Finally, LCM of Fractions for 3260/632, 9105/352 is 5936460/8.