Least Common Multiple of 731, 493
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 731, 493 i.e. 21199 smallest integer divisible by all numbers.
Least common multiple (LCM) of 731, 493 is 21199.
LCM(731, 493) = 21199
LCM of 731, 493
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 731, 493 by common division method
- Least Common Multiple of 731, 493 with GCF Formula
Least Common Multiple (LCM) of 731,493 is 21199
| 17 | 731, 493 |
| 43, 29 |
∴ So the LCM of the given numbers is 17 x 43 x 29 = 21199
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 731,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,493) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(731,493) x common factors =17 x 1 = 17
LCM(731,493) = ( 731 × 493 ) / 17
LCM(731,493) = 360383 / 17
LCM(731,493) = 21199
∴ Least Common Multiple of 731,493 is 21199
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 731, 493
1. What is the LCM of 731, 493?
Answer: LCM of 731, 493 is 21199.
2. What are the Factors of 21199?
Answer: Factors of 21199 are . There are integers that are factors of 21199
3. How to Find the LCM of 731, 493 ?
Least Common Multiple of 731, 493.
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(731, 493) = 17 x 29 x 43 = 21199.
