Find the LCM of 630, 528, 847, 736, 416 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 630, 528, 847, 736, 416. So, keep reading to learn more.
Given numbers are 630,528,847,736,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,528,847,736,416 is 364684320.
Find LCM of 630,528,847,736,416 with Prime Factorization
2 | 630, 528, 847, 736, 416 |
2 | 315, 264, 847, 368, 208 |
2 | 315, 132, 847, 184, 104 |
2 | 315, 66, 847, 92, 52 |
2 | 315, 33, 847, 46, 26 |
3 | 315, 33, 847, 23, 13 |
7 | 105, 11, 847, 23, 13 |
11 | 15, 11, 121, 23, 13 |
15, 1, 11, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 15 x 1 x 11 x 23 x 13 = 364684320
Therefore, the lowest common multiple of 630,528,847,736,416 is 364684320.
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.
630 x 528 x 847 x 736 x 416 = 86263887790080
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
847 : 1, 7, 11, 77, 121, 847
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,528,847,736,416, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
528:2x 2x 2x 2x 3x 11
847:7x 11x 11
736:2x 2x 2x 2x 2x 23
416:2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 2x 2x 3x 7x 11 = 236544
Therefore, the value for common factors is 236544.
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 = 86263887790080/(1x236544)
LCM = 86263887790080/236544
LCM = 364684320
Thus, we can understand that the LCM of 630,528,847,736,416 is 364684320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 528, 847, 736, 416?
Answer: LCM of 630, 528, 847, 736, 416 is 364684320.
2. How to calculate the LCM of 630, 528, 847, 736, 416?
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 630, 528, 847, 736, 416.
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}.