Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 696, 435, 816 i.e. 118320 smallest integer divisible by all numbers.
Least common multiple (LCM) of 696, 435, 816 is 118320.
LCM(696, 435, 816) = 118320
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 696, 435, 816 |
2 | 348, 435, 408 |
2 | 174, 435, 204 |
3 | 87, 435, 102 |
29 | 29, 145, 34 |
1, 5, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 1 x 5 x 34 = 118320
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 696,435,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,435,816) = 3
common factors(in case of two or more numbers have common factors) = 696
GCF(696,435,816) x common factors =3 x 696 = 2088
LCM(696,435,816) = ( 696 × 435 × 816 ) / 2088
LCM(696,435,816) = 247052160 / 2088
LCM(696,435,816) = 118320
∴ Least Common Multiple of 696,435,816 is 118320
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 696, 435, 816?
Answer: LCM of 696, 435, 816 is 118320.
2. What are the Factors of 118320?
Answer: Factors of 118320 are . There are integers that are factors of 118320
3. How to Find the LCM of 696, 435, 816 ?
Least Common Multiple of 696, 435, 816.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(696, 435, 816) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 29 = 118320.