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 238, 388, 480, 680 i.e. 5540640 smallest integer divisible by all numbers.
Least common multiple (LCM) of 238, 388, 480, 680 is 5540640.
LCM(238, 388, 480, 680) = 5540640
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 238, 388, 480, 680 |
2 | 119, 194, 240, 340 |
2 | 119, 97, 120, 170 |
5 | 119, 97, 60, 85 |
17 | 119, 97, 12, 17 |
7, 97, 12, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 7 x 97 x 12 x 1 = 5540640
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 238,388,480,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,388,480,680) = 2
common factors(in case of two or more numbers have common factors) = 2720
GCF(238,388,480,680) x common factors =2 x 2720 = 5440
LCM(238,388,480,680) = ( 238 × 388 × 480 × 680 ) / 5440
LCM(238,388,480,680) = 30141081600 / 5440
LCM(238,388,480,680) = 5540640
∴ Least Common Multiple of 238,388,480,680 is 5540640
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 238, 388, 480, 680?
Answer: LCM of 238, 388, 480, 680 is 5540640.
2. What are the Factors of 5540640?
Answer: Factors of 5540640 are . There are integers that are factors of 5540640
3. How to Find the LCM of 238, 388, 480, 680 ?
Least Common Multiple of 238, 388, 480, 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(238, 388, 480, 680) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 97 = 5540640.