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 420, 732, 736, 426, 207 i.e. 1004099040 smallest integer divisible by all numbers.
Least common multiple (LCM) of 420, 732, 736, 426, 207 is 1004099040.
LCM(420, 732, 736, 426, 207) = 1004099040
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 420, 732, 736, 426, 207 |
2 | 210, 366, 368, 213, 207 |
3 | 105, 183, 184, 213, 207 |
23 | 35, 61, 184, 71, 69 |
35, 61, 8, 71, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 35 x 61 x 8 x 71 x 3 = 1004099040
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 420,732,736,426,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,732,736,426,207) = 1
common factors(in case of two or more numbers have common factors) = 19872
GCF(420,732,736,426,207) x common factors =1 x 19872 = 19872
LCM(420,732,736,426,207) = ( 420 × 732 × 736 × 426 × 207 ) / 19872
LCM(420,732,736,426,207) = 19953456122880 / 19872
LCM(420,732,736,426,207) = 1004099040
∴ Least Common Multiple of 420,732,736,426,207 is 1004099040
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 732, 736, 426, 207?
Answer: LCM of 420, 732, 736, 426, 207 is 1004099040.
2. What are the Factors of 1004099040?
Answer: Factors of 1004099040 are . There are integers that are factors of 1004099040
3. How to Find the LCM of 420, 732, 736, 426, 207 ?
Least Common Multiple of 420, 732, 736, 426, 207.
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(420, 732, 736, 426, 207) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 61 x 71 = 1004099040.