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 364, 365, 803, 931, 546 i.e. 583122540 smallest integer divisible by all numbers.
Least common multiple (LCM) of 364, 365, 803, 931, 546 is 583122540.
LCM(364, 365, 803, 931, 546) = 583122540
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 364, 365, 803, 931, 546 |
7 | 182, 365, 803, 931, 273 |
13 | 26, 365, 803, 133, 39 |
73 | 2, 365, 803, 133, 3 |
2, 5, 11, 133, 3 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 73 x 2 x 5 x 11 x 133 x 3 = 583122540
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 364,365,803,931,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,365,803,931,546) = 1
common factors(in case of two or more numbers have common factors) = 93002
GCF(364,365,803,931,546) x common factors =1 x 93002 = 93002
LCM(364,365,803,931,546) = ( 364 × 365 × 803 × 931 × 546 ) / 93002
LCM(364,365,803,931,546) = 54231562465080 / 93002
LCM(364,365,803,931,546) = 583122540
∴ Least Common Multiple of 364,365,803,931,546 is 583122540
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 365, 803, 931, 546?
Answer: LCM of 364, 365, 803, 931, 546 is 583122540.
2. What are the Factors of 583122540?
Answer: Factors of 583122540 are . There are integers that are factors of 583122540
3. How to Find the LCM of 364, 365, 803, 931, 546 ?
Least Common Multiple of 364, 365, 803, 931, 546.
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(364, 365, 803, 931, 546) = 2 x 2 x 3 x 5 x 7 x 7 x 11 x 13 x 19 x 73 = 583122540.