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, 486, 680 i.e. 165240 smallest integer divisible by all numbers.
Least common multiple (LCM) of 340, 486, 680 is 165240.
LCM(340, 486, 680) = 165240
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 340, 486, 680 |
2 | 170, 243, 340 |
5 | 85, 243, 170 |
17 | 17, 243, 34 |
1, 243, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 1 x 243 x 2 = 165240
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 340,486,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,486,680) = 2
common factors(in case of two or more numbers have common factors) = 340
GCF(340,486,680) x common factors =2 x 340 = 680
LCM(340,486,680) = ( 340 × 486 × 680 ) / 680
LCM(340,486,680) = 112363200 / 680
LCM(340,486,680) = 165240
∴ Least Common Multiple of 340,486,680 is 165240
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 340, 486, 680?
Answer: LCM of 340, 486, 680 is 165240.
2. What are the Factors of 165240?
Answer: Factors of 165240 are . There are integers that are factors of 165240
3. How to Find the LCM of 340, 486, 680 ?
Least Common Multiple of 340, 486, 680.
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, 486, 680) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 17 = 165240.