Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1669/304, 5150/732 quickly i.e. 8595350/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1669/304, 5150/732 is 8595350/4.
LCM(1669/304, 5150/732) = 8595350/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1669/304,5150/732
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 1669,5150
Least Common Multiple of Numerators i.e. LCM of 1669,5150 is 8595350.
GCF of Denominators means GCF of 304,732 as per the given fractions.
GCF of 304,732 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1669,5150
Given numbers has no common factors except 1. So, there LCM is their product i.e 8595350
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 1669,5150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1669,5150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1669,5150) x common factors =1 x 1 = 1
LCM(1669,5150) = ( 1669 × 5150 ) / 1
LCM(1669,5150) = 8595350 / 1
LCM(1669,5150) = 8595350
Lets's calculate GCF of 304,732
2 | 304, 732 |
2 | 152, 366 |
76, 183 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8595350/4
Therefore the LCM of Fractions 1669/304,5150/732 is 8595350/4
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
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 304,732 . The biggest common factor number is the GCF number.
So the greatest common factor 304,732 is 4.
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 1669/304, 5150/732?
Answer: LCM of Numerators as per given numbers 1669/304, 5150/732 is
LCM of Numerators i.e. for 1669,5150 is 8595350
GCF of denominators i.e. for 304,732 is 4.
Thus, LCM of Fractions is 8595350/4.Finally, LCM of Fractions for 1669/304, 5150/732 is 8595350/4.