Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9651/250, 9505/840 quickly i.e. 91732755/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9651/250, 9505/840 is 91732755/10.
LCM(9651/250, 9505/840) = 91732755/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9651/250,9505/840
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 9651,9505
Least Common Multiple of Numerators i.e. LCM of 9651,9505 is 91732755.
GCF of Denominators means GCF of 250,840 as per the given fractions.
GCF of 250,840 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9651,9505
Given numbers has no common factors except 1. So, there LCM is their product i.e 91732755
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 9651,9505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9651,9505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9651,9505) x common factors =1 x 1 = 1
LCM(9651,9505) = ( 9651 × 9505 ) / 1
LCM(9651,9505) = 91732755 / 1
LCM(9651,9505) = 91732755
Lets's calculate GCF of 250,840
2 | 250, 840 |
5 | 125, 420 |
25, 84 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91732755/10
Therefore the LCM of Fractions 9651/250,9505/840 is 91732755/10
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 250,840 . The biggest common factor number is the GCF number.
So the greatest common factor 250,840 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 9651/250, 9505/840?
Answer: LCM of Numerators as per given numbers 9651/250, 9505/840 is
LCM of Numerators i.e. for 9651,9505 is 91732755
GCF of denominators i.e. for 250,840 is 10.
Thus, LCM of Fractions is 91732755/10.Finally, LCM of Fractions for 9651/250, 9505/840 is 91732755/10.