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 462, 735, 322 i.e. 371910 smallest integer divisible by all numbers.
Least common multiple (LCM) of 462, 735, 322 is 371910.
LCM(462, 735, 322) = 371910
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 462, 735, 322 |
3 | 231, 735, 161 |
7 | 77, 245, 161 |
11, 35, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 35 x 23 = 371910
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 462,735,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,735,322) = 7
common factors(in case of two or more numbers have common factors) = 42
GCF(462,735,322) x common factors =7 x 42 = 294
LCM(462,735,322) = ( 462 × 735 × 322 ) / 294
LCM(462,735,322) = 109341540 / 294
LCM(462,735,322) = 371910
∴ Least Common Multiple of 462,735,322 is 371910
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 735, 322?
Answer: LCM of 462, 735, 322 is 371910.
2. What are the Factors of 371910?
Answer: Factors of 371910 are . There are integers that are factors of 371910
3. How to Find the LCM of 462, 735, 322 ?
Least Common Multiple of 462, 735, 322.
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(462, 735, 322) = 2 x 3 x 5 x 7 x 7 x 11 x 23 = 371910.