Find the LCM of 478, 460, 638, 989, 862 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 478, 460, 638, 989, 862. So, keep reading to learn more.
Given numbers are 478,460,638,989,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,460,638,989,862 is 649968248380.
Find LCM of 478,460,638,989,862 with Prime Factorization
2 | 478, 460, 638, 989, 862 |
23 | 239, 230, 319, 989, 431 |
239, 10, 319, 43, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 239 x 10 x 319 x 43 x 431 = 649968248380
Therefore, the lowest common multiple of 478,460,638,989,862 is 649968248380.
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.
478 x 460 x 638 x 989 x 862 = 119594157701920
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.
478 : 1, 2, 239, 478
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
638 : 1, 2, 11, 22, 29, 58, 319, 638
989 : 1, 23, 43, 989
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,460,638,989,862, is 1.
Now, the common factors can be found like this.
478:2x 239
460:2x 2x 5x 23
638:2x 11x 29
989:23x 43
862:2x 431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 119594157701920/(1x184)
LCM = 119594157701920/184
LCM = 649968248380
Thus, we can understand that the LCM of 478,460,638,989,862 is 649968248380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 460, 638, 989, 862?
Answer: LCM of 478, 460, 638, 989, 862 is 649968248380.
2. How to calculate the LCM of 478, 460, 638, 989, 862?
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 478, 460, 638, 989, 862.
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}.