Find the LCM of 490, 638, 916, 973 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 490, 638, 916, 973. So, keep reading to learn more.
Given numbers are 490,638,916,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,638,916,973 is 9951007220.
Find LCM of 490,638,916,973 with Prime Factorization
2 | 490, 638, 916, 973 |
7 | 245, 319, 458, 973 |
35, 319, 458, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 35 x 319 x 458 x 139 = 9951007220
Therefore, the lowest common multiple of 490,638,916,973 is 9951007220.
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.
490 x 638 x 916 x 973 = 278628202160
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
638 : 1, 2, 11, 22, 29, 58, 319, 638
916 : 1, 2, 4, 229, 458, 916
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,638,916,973, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
638:2x 11x 29
916:2x 2x 229
973:7x 139
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 7 = 28
Therefore, the value for common factors is 28.
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 = 278628202160/(1x28)
LCM = 278628202160/28
LCM = 9951007220
Thus, we can understand that the LCM of 490,638,916,973 is 9951007220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 490, 638, 916, 973?
Answer: LCM of 490, 638, 916, 973 is 9951007220.
2. How to calculate the LCM of 490, 638, 916, 973?
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 490, 638, 916, 973.
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}.