Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4900/134, 6597/1604 quickly i.e. 16162650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4900/134, 6597/1604 is 16162650.
LCM(4900/134, 6597/1604) = 16162650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4900/134,6597/1604
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 4900,6597
Least Common Multiple of Numerators i.e. LCM of 4900,6597 is 32325300.
GCF of Denominators means GCF of 134,1604 as per the given fractions.
GCF of 134,1604 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4900,6597
Given numbers has no common factors except 1. So, there LCM is their product i.e 32325300
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 4900,6597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4900,6597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4900,6597) x common factors =1 x 1 = 1
LCM(4900,6597) = ( 4900 × 6597 ) / 1
LCM(4900,6597) = 32325300 / 1
LCM(4900,6597) = 32325300
Lets's calculate GCF of 134,1604
2 | 134, 1604 |
67, 802 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32325300/2
Therefore the LCM of Fractions 4900/134,6597/1604 is 16162650
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 1604
List of positive integer factors of 1604 that divides 1604 without a remainder.
1,2,4,401,802,1604
Greatest Common Factor
We found the factors 134,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 134,1604 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 4900/134, 6597/1604?
Answer: LCM of Numerators as per given numbers 4900/134, 6597/1604 is
LCM of Numerators i.e. for 4900,6597 is 32325300
GCF of denominators i.e. for 134,1604 is 2.
Thus, LCM of Fractions is 16162650.Finally, LCM of Fractions for 4900/134, 6597/1604 is 16162650.