Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9870/465, 8960/9207 quickly i.e. 1263360/93 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9870/465, 8960/9207 is 1263360/93.
LCM(9870/465, 8960/9207) = 1263360/93
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9870/465,8960/9207
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 9870,8960
Least Common Multiple of Numerators i.e. LCM of 9870,8960 is 1263360.
GCF of Denominators means GCF of 465,9207 as per the given fractions.
GCF of 465,9207 is 93 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9870,8960
2 | 9870, 8960 |
5 | 4935, 4480 |
7 | 987, 896 |
141, 128 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 141 x 128 = 1263360
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 9870,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9870,8960) = 70
common factors(in case of two or more numbers have common factors) = 1
GCF(9870,8960) x common factors =70 x 1 = 70
LCM(9870,8960) = ( 9870 × 8960 ) / 70
LCM(9870,8960) = 88435200 / 70
LCM(9870,8960) = 1263360
Lets's calculate GCF of 465,9207
3 | 465, 9207 |
31 | 155, 3069 |
5, 99 |
∴ So the GCF of the given numbers is 3 x 31 = 93
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1263360/93
Therefore the LCM of Fractions 9870/465,8960/9207 is 1263360/93
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 9207
List of positive integer factors of 9207 that divides 9207 without a remainder.
1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207
Greatest Common Factor
We found the factors 465,9207 . The biggest common factor number is the GCF number.
So the greatest common factor 465,9207 is 93.
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 9870/465, 8960/9207?
Answer: LCM of Numerators as per given numbers 9870/465, 8960/9207 is
LCM of Numerators i.e. for 9870,8960 is 1263360
GCF of denominators i.e. for 465,9207 is 93.
Thus, LCM of Fractions is 1263360/93.Finally, LCM of Fractions for 9870/465, 8960/9207 is 1263360/93.