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 414, 544, 792, 861 i.e. 355503456 smallest integer divisible by all numbers.
Least common multiple (LCM) of 414, 544, 792, 861 is 355503456.
LCM(414, 544, 792, 861) = 355503456
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 414, 544, 792, 861 |
2 | 207, 272, 396, 861 |
2 | 207, 136, 198, 861 |
3 | 207, 68, 99, 861 |
3 | 69, 68, 33, 287 |
23, 68, 11, 287 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 68 x 11 x 287 = 355503456
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 414,544,792,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,544,792,861) = 1
common factors(in case of two or more numbers have common factors) = 432
GCF(414,544,792,861) x common factors =1 x 432 = 432
LCM(414,544,792,861) = ( 414 × 544 × 792 × 861 ) / 432
LCM(414,544,792,861) = 153577492992 / 432
LCM(414,544,792,861) = 355503456
∴ Least Common Multiple of 414,544,792,861 is 355503456
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 544, 792, 861?
Answer: LCM of 414, 544, 792, 861 is 355503456.
2. What are the Factors of 355503456?
Answer: Factors of 355503456 are . There are integers that are factors of 355503456
3. How to Find the LCM of 414, 544, 792, 861 ?
Least Common Multiple of 414, 544, 792, 861.
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(414, 544, 792, 861) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 17 x 23 x 41 = 355503456.