Find the LCM of 460, 987, 650, 545, 421 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 460, 987, 650, 545, 421. So, keep reading to learn more.
Given numbers are 460,987,650,545,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,987,650,545,421 is 1354244045700.
Find LCM of 460,987,650,545,421 with Prime Factorization
2 | 460, 987, 650, 545, 421 |
5 | 230, 987, 325, 545, 421 |
46, 987, 65, 109, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 46 x 987 x 65 x 109 x 421 = 1354244045700
Therefore, the lowest common multiple of 460,987,650,545,421 is 1354244045700.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
460 x 987 x 650 x 545 x 421 = 67712202285000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
987 : 1, 3, 7, 21, 47, 141, 329, 987
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
545 : 1, 5, 109, 545
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,987,650,545,421, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
987:3x 7x 47
650:2x 5x 5x 13
545:5x 109
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 67712202285000/(1x50)
LCM = 67712202285000/50
LCM = 1354244045700
Thus, we can understand that the LCM of 460,987,650,545,421 is 1354244045700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 987, 650, 545, 421?
Answer: LCM of 460, 987, 650, 545, 421 is 1354244045700.
2. How to calculate the LCM of 460, 987, 650, 545, 421?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 460, 987, 650, 545, 421.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.