Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/210, 5901/130 quickly i.e. 4278225/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/210, 5901/130 is 4278225/10.
LCM(725/210, 5901/130) = 4278225/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/210,5901/130
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 725,5901
Least Common Multiple of Numerators i.e. LCM of 725,5901 is 4278225.
GCF of Denominators means GCF of 210,130 as per the given fractions.
GCF of 210,130 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,5901
Given numbers has no common factors except 1. So, there LCM is their product i.e 4278225
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 725,5901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,5901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,5901) x common factors =1 x 1 = 1
LCM(725,5901) = ( 725 × 5901 ) / 1
LCM(725,5901) = 4278225 / 1
LCM(725,5901) = 4278225
Lets's calculate GCF of 210,130
2 | 210, 130 |
5 | 105, 65 |
21, 13 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4278225/10
Therefore the LCM of Fractions 725/210,5901/130 is 4278225/10
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 210,130 . The biggest common factor number is the GCF number.
So the greatest common factor 210,130 is 10.
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 725/210, 5901/130?
Answer: LCM of Numerators as per given numbers 725/210, 5901/130 is
LCM of Numerators i.e. for 725,5901 is 4278225
GCF of denominators i.e. for 210,130 is 10.
Thus, LCM of Fractions is 4278225/10.Finally, LCM of Fractions for 725/210, 5901/130 is 4278225/10.