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 747, 285, 522, 261, 595 i.e. 489800430 smallest integer divisible by all numbers.
Least common multiple (LCM) of 747, 285, 522, 261, 595 is 489800430.
LCM(747, 285, 522, 261, 595) = 489800430
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 747, 285, 522, 261, 595 |
3 | 249, 95, 174, 87, 595 |
5 | 83, 95, 58, 29, 595 |
29 | 83, 19, 58, 29, 119 |
83, 19, 2, 1, 119 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 29 x 83 x 19 x 2 x 1 x 119 = 489800430
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 747,285,522,261,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,285,522,261,595) = 1
common factors(in case of two or more numbers have common factors) = 35235
GCF(747,285,522,261,595) x common factors =1 x 35235 = 35235
LCM(747,285,522,261,595) = ( 747 × 285 × 522 × 261 × 595 ) / 35235
LCM(747,285,522,261,595) = 17258118151050 / 35235
LCM(747,285,522,261,595) = 489800430
∴ Least Common Multiple of 747,285,522,261,595 is 489800430
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 747, 285, 522, 261, 595?
Answer: LCM of 747, 285, 522, 261, 595 is 489800430.
2. What are the Factors of 489800430?
Answer: Factors of 489800430 are . There are integers that are factors of 489800430
3. How to Find the LCM of 747, 285, 522, 261, 595 ?
Least Common Multiple of 747, 285, 522, 261, 595.
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(747, 285, 522, 261, 595) = 2 x 3 x 3 x 5 x 7 x 17 x 19 x 29 x 83 = 489800430.