Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9780/964, 9043/482 quickly i.e. 88440540/482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9780/964, 9043/482 is 88440540/482.
LCM(9780/964, 9043/482) = 88440540/482
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9780/964,9043/482
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 9780,9043
Least Common Multiple of Numerators i.e. LCM of 9780,9043 is 88440540.
GCF of Denominators means GCF of 964,482 as per the given fractions.
GCF of 964,482 is 482 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9780,9043
Given numbers has no common factors except 1. So, there LCM is their product i.e 88440540
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 9780,9043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9780,9043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9780,9043) x common factors =1 x 1 = 1
LCM(9780,9043) = ( 9780 × 9043 ) / 1
LCM(9780,9043) = 88440540 / 1
LCM(9780,9043) = 88440540
Lets's calculate GCF of 964,482
2 | 964, 482 |
241 | 482, 241 |
2, 1 |
∴ So the GCF of the given numbers is 2 x 241 = 482
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88440540/482
Therefore the LCM of Fractions 9780/964,9043/482 is 88440540/482
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 964,482 . The biggest common factor number is the GCF number.
So the greatest common factor 964,482 is 482.
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 9780/964, 9043/482?
Answer: LCM of Numerators as per given numbers 9780/964, 9043/482 is
LCM of Numerators i.e. for 9780,9043 is 88440540
GCF of denominators i.e. for 964,482 is 482.
Thus, LCM of Fractions is 88440540/482.Finally, LCM of Fractions for 9780/964, 9043/482 is 88440540/482.