Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4825/725, 9276/370 quickly i.e. 8951340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4825/725, 9276/370 is 8951340.
LCM(4825/725, 9276/370) = 8951340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4825/725,9276/370
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 4825,9276
Least Common Multiple of Numerators i.e. LCM of 4825,9276 is 44756700.
GCF of Denominators means GCF of 725,370 as per the given fractions.
GCF of 725,370 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4825,9276
Given numbers has no common factors except 1. So, there LCM is their product i.e 44756700
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 4825,9276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4825,9276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4825,9276) x common factors =1 x 1 = 1
LCM(4825,9276) = ( 4825 × 9276 ) / 1
LCM(4825,9276) = 44756700 / 1
LCM(4825,9276) = 44756700
Lets's calculate GCF of 725,370
5 | 725, 370 |
145, 74 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44756700/5
Therefore the LCM of Fractions 4825/725,9276/370 is 8951340
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 725,370 . The biggest common factor number is the GCF number.
So the greatest common factor 725,370 is 5.
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 4825/725, 9276/370?
Answer: LCM of Numerators as per given numbers 4825/725, 9276/370 is
LCM of Numerators i.e. for 4825,9276 is 44756700
GCF of denominators i.e. for 725,370 is 5.
Thus, LCM of Fractions is 8951340.Finally, LCM of Fractions for 4825/725, 9276/370 is 8951340.