Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1950/602, 4299/4728 quickly i.e. 1397175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1950/602, 4299/4728 is 1397175.
LCM(1950/602, 4299/4728) = 1397175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1950/602,4299/4728
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 1950,4299
Least Common Multiple of Numerators i.e. LCM of 1950,4299 is 2794350.
GCF of Denominators means GCF of 602,4728 as per the given fractions.
GCF of 602,4728 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1950,4299
3 | 1950, 4299 |
650, 1433 |
∴ So the LCM of the given numbers is 3 x 650 x 1433 = 2794350
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 1950,4299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1950,4299) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1950,4299) x common factors =3 x 1 = 3
LCM(1950,4299) = ( 1950 × 4299 ) / 3
LCM(1950,4299) = 8383050 / 3
LCM(1950,4299) = 2794350
Lets's calculate GCF of 602,4728
2 | 602, 4728 |
301, 2364 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2794350/2
Therefore the LCM of Fractions 1950/602,4299/4728 is 1397175
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 4728
List of positive integer factors of 4728 that divides 4728 without a remainder.
1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Greatest Common Factor
We found the factors 602,4728 . The biggest common factor number is the GCF number.
So the greatest common factor 602,4728 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 1950/602, 4299/4728?
Answer: LCM of Numerators as per given numbers 1950/602, 4299/4728 is
LCM of Numerators i.e. for 1950,4299 is 2794350
GCF of denominators i.e. for 602,4728 is 2.
Thus, LCM of Fractions is 1397175.Finally, LCM of Fractions for 1950/602, 4299/4728 is 1397175.