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 321, 754, 749 i.e. 1694238 smallest integer divisible by all numbers.
Least common multiple (LCM) of 321, 754, 749 is 1694238.
LCM(321, 754, 749) = 1694238
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
107 | 321, 754, 749 |
3, 754, 7 |
∴ So the LCM of the given numbers is 107 x 3 x 754 x 7 = 1694238
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 321,754,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,754,749) = 1
common factors(in case of two or more numbers have common factors) = 107
GCF(321,754,749) x common factors =1 x 107 = 107
LCM(321,754,749) = ( 321 × 754 × 749 ) / 107
LCM(321,754,749) = 181283466 / 107
LCM(321,754,749) = 1694238
∴ Least Common Multiple of 321,754,749 is 1694238
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 754, 749?
Answer: LCM of 321, 754, 749 is 1694238.
2. What are the Factors of 1694238?
Answer: Factors of 1694238 are . There are integers that are factors of 1694238
3. How to Find the LCM of 321, 754, 749 ?
Least Common Multiple of 321, 754, 749.
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(321, 754, 749) = 2 x 3 x 7 x 13 x 29 x 107 = 1694238.