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 33, 78, 46, 414 i.e. 59202 smallest integer divisible by all numbers.
Least common multiple (LCM) of 33, 78, 46, 414 is 59202.
LCM(33, 78, 46, 414) = 59202
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 33, 78, 46, 414 |
3 | 33, 39, 23, 207 |
23 | 11, 13, 23, 69 |
11, 13, 1, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 13 x 1 x 3 = 59202
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 33,78,46,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,78,46,414) = 1
common factors(in case of two or more numbers have common factors) = 828
GCF(33,78,46,414) x common factors =1 x 828 = 828
LCM(33,78,46,414) = ( 33 × 78 × 46 × 414 ) / 828
LCM(33,78,46,414) = 49019256 / 828
LCM(33,78,46,414) = 59202
∴ Least Common Multiple of 33,78,46,414 is 59202
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 33, 78, 46, 414?
Answer: LCM of 33, 78, 46, 414 is 59202.
2. What are the Factors of 59202?
Answer: Factors of 59202 are . There are integers that are factors of 59202
3. How to Find the LCM of 33, 78, 46, 414 ?
Least Common Multiple of 33, 78, 46, 414.
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(33, 78, 46, 414) = 2 x 3 x 3 x 11 x 13 x 23 = 59202.