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 510, 490, 294 i.e. 24990 smallest integer divisible by all numbers.
Least common multiple (LCM) of 510, 490, 294 is 24990.
LCM(510, 490, 294) = 24990
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 510, 490, 294 |
3 | 255, 245, 147 |
5 | 85, 245, 49 |
7 | 17, 49, 49 |
7 | 17, 7, 7 |
17, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 7 x 17 x 1 x 1 = 24990
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 510,490,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,490,294) = 2
common factors(in case of two or more numbers have common factors) = 1470
GCF(510,490,294) x common factors =2 x 1470 = 2940
LCM(510,490,294) = ( 510 × 490 × 294 ) / 2940
LCM(510,490,294) = 73470600 / 2940
LCM(510,490,294) = 24990
∴ Least Common Multiple of 510,490,294 is 24990
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 490, 294?
Answer: LCM of 510, 490, 294 is 24990.
2. What are the Factors of 24990?
Answer: Factors of 24990 are . There are integers that are factors of 24990
3. How to Find the LCM of 510, 490, 294 ?
Least Common Multiple of 510, 490, 294.
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(510, 490, 294) = 2 x 3 x 5 x 7 x 7 x 17 = 24990.