Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 702/736, 463/966 quickly i.e. 325026/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 702/736, 463/966 is 325026/46.
LCM(702/736, 463/966) = 325026/46
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 702/736,463/966
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 702,463
Least Common Multiple of Numerators i.e. LCM of 702,463 is 325026.
GCF of Denominators means GCF of 736,966 as per the given fractions.
GCF of 736,966 is 46 as it is the largest common factor for these numbers.
Lets's calculate LCM of 702,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 325026
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 702,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(702,463) x common factors =1 x 1 = 1
LCM(702,463) = ( 702 × 463 ) / 1
LCM(702,463) = 325026 / 1
LCM(702,463) = 325026
Lets's calculate GCF of 736,966
2 | 736, 966 |
23 | 368, 483 |
16, 21 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325026/46
Therefore the LCM of Fractions 702/736,463/966 is 325026/46
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 736,966 . The biggest common factor number is the GCF number.
So the greatest common factor 736,966 is 46.
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 702/736, 463/966?
Answer: LCM of Numerators as per given numbers 702/736, 463/966 is
LCM of Numerators i.e. for 702,463 is 325026
GCF of denominators i.e. for 736,966 is 46.
Thus, LCM of Fractions is 325026/46.Finally, LCM of Fractions for 702/736, 463/966 is 325026/46.