Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3250/966, 9562/304 quickly i.e. 7769125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3250/966, 9562/304 is 7769125.
LCM(3250/966, 9562/304) = 7769125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3250/966,9562/304
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 3250,9562
Least Common Multiple of Numerators i.e. LCM of 3250,9562 is 15538250.
GCF of Denominators means GCF of 966,304 as per the given fractions.
GCF of 966,304 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3250,9562
2 | 3250, 9562 |
1625, 4781 |
∴ So the LCM of the given numbers is 2 x 1625 x 4781 = 15538250
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 3250,9562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3250,9562) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3250,9562) x common factors =2 x 1 = 2
LCM(3250,9562) = ( 3250 × 9562 ) / 2
LCM(3250,9562) = 31076500 / 2
LCM(3250,9562) = 15538250
Lets's calculate GCF of 966,304
2 | 966, 304 |
483, 152 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15538250/2
Therefore the LCM of Fractions 3250/966,9562/304 is 7769125
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Greatest Common Factor
We found the factors 966,304 . The biggest common factor number is the GCF number.
So the greatest common factor 966,304 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 3250/966, 9562/304?
Answer: LCM of Numerators as per given numbers 3250/966, 9562/304 is
LCM of Numerators i.e. for 3250,9562 is 15538250
GCF of denominators i.e. for 966,304 is 2.
Thus, LCM of Fractions is 7769125.Finally, LCM of Fractions for 3250/966, 9562/304 is 7769125.