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 340, 510, 813 i.e. 276420 smallest integer divisible by all numbers.
Least common multiple (LCM) of 340, 510, 813 is 276420.
LCM(340, 510, 813) = 276420
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 340, 510, 813 |
3 | 170, 255, 813 |
5 | 170, 85, 271 |
17 | 34, 17, 271 |
2, 1, 271 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 2 x 1 x 271 = 276420
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 340,510,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,510,813) = 1
common factors(in case of two or more numbers have common factors) = 510
GCF(340,510,813) x common factors =1 x 510 = 510
LCM(340,510,813) = ( 340 × 510 × 813 ) / 510
LCM(340,510,813) = 140974200 / 510
LCM(340,510,813) = 276420
∴ Least Common Multiple of 340,510,813 is 276420
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 510, 813?
Answer: LCM of 340, 510, 813 is 276420.
2. What are the Factors of 276420?
Answer: Factors of 276420 are . There are integers that are factors of 276420
3. How to Find the LCM of 340, 510, 813 ?
Least Common Multiple of 340, 510, 813.
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(340, 510, 813) = 2 x 2 x 3 x 5 x 17 x 271 = 276420.