LCM of 430, 969, 780, 920, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 430, 969, 780, 920, 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 430, 969, 780, 920, 416. So, keep reading to learn more.
Given numbers are 430,969,780,920,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,969,780,920,416 is 1993349280.
Find LCM of 430,969,780,920,416 with Prime Factorization
| 2 | 430, 969, 780, 920, 416 |
| 2 | 215, 969, 390, 460, 208 |
| 2 | 215, 969, 195, 230, 104 |
| 3 | 215, 969, 195, 115, 52 |
| 5 | 215, 323, 65, 115, 52 |
| 13 | 43, 323, 13, 23, 52 |
| 43, 323, 1, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 43 x 323 x 1 x 23 x 4 = 1993349280
Therefore, the lowest common multiple of 430,969,780,920,416 is 1993349280.
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.
430 x 969 x 780 x 920 x 416 = 124384995072000
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.
430 : 1, 2, 5, 10, 43, 86, 215, 430
969 : 1, 3, 17, 19, 51, 57, 323, 969
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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 430,969,780,920,416, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
969:3x 17x 19
780:2x 2x 3x 5x 13
920:2x 2x 2x 5x 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 3x 5x 5x 13 = 62400
Therefore, the value for common factors is 62400.
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 = 124384995072000/(1x62400)
LCM = 124384995072000/62400
LCM = 1993349280
Thus, we can understand that the LCM of 430,969,780,920,416 is 1993349280.
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FAQs on LCM of 430, 969, 780, 920, 416
1. What is the LCM of 430, 969, 780, 920, 416?
Answer: LCM of 430, 969, 780, 920, 416 is 1993349280.
2. How to calculate the LCM of 430, 969, 780, 920, 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 430, 969, 780, 920, 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}.