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, 970, 714 i.e. 346290 smallest integer divisible by all numbers.
Least common multiple (LCM) of 510, 970, 714 is 346290.
LCM(510, 970, 714) = 346290
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 510, 970, 714 |
3 | 255, 485, 357 |
5 | 85, 485, 119 |
17 | 17, 97, 119 |
1, 97, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 97 x 7 = 346290
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 510,970,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,970,714) = 2
common factors(in case of two or more numbers have common factors) = 510
GCF(510,970,714) x common factors =2 x 510 = 1020
LCM(510,970,714) = ( 510 × 970 × 714 ) / 1020
LCM(510,970,714) = 353215800 / 1020
LCM(510,970,714) = 346290
∴ Least Common Multiple of 510,970,714 is 346290
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 970, 714?
Answer: LCM of 510, 970, 714 is 346290.
2. What are the Factors of 346290?
Answer: Factors of 346290 are . There are integers that are factors of 346290
3. How to Find the LCM of 510, 970, 714 ?
Least Common Multiple of 510, 970, 714.
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, 970, 714) = 2 x 3 x 5 x 7 x 17 x 97 = 346290.