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 138, 150, 460, 838 i.e. 2891100 smallest integer divisible by all numbers.
Least common multiple (LCM) of 138, 150, 460, 838 is 2891100.
LCM(138, 150, 460, 838) = 2891100
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 138, 150, 460, 838 |
3 | 69, 75, 230, 419 |
5 | 23, 25, 230, 419 |
23 | 23, 5, 46, 419 |
1, 5, 2, 419 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 1 x 5 x 2 x 419 = 2891100
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 138,150,460,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,150,460,838) = 2
common factors(in case of two or more numbers have common factors) = 1380
GCF(138,150,460,838) x common factors =2 x 1380 = 2760
LCM(138,150,460,838) = ( 138 × 150 × 460 × 838 ) / 2760
LCM(138,150,460,838) = 7979436000 / 2760
LCM(138,150,460,838) = 2891100
∴ Least Common Multiple of 138,150,460,838 is 2891100
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 150, 460, 838?
Answer: LCM of 138, 150, 460, 838 is 2891100.
2. What are the Factors of 2891100?
Answer: Factors of 2891100 are . There are integers that are factors of 2891100
3. How to Find the LCM of 138, 150, 460, 838 ?
Least Common Multiple of 138, 150, 460, 838.
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(138, 150, 460, 838) = 2 x 2 x 3 x 5 x 5 x 23 x 419 = 2891100.