Find the LCM of 430, 569, 630, 980, 272 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, 569, 630, 980, 272. So, keep reading to learn more.
Given numbers are 430,569,630,980,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 430,569,630,980,272 is 14674327920.
Find LCM of 430,569,630,980,272 with Prime Factorization
2 | 430, 569, 630, 980, 272 |
2 | 215, 569, 315, 490, 136 |
5 | 215, 569, 315, 245, 68 |
7 | 43, 569, 63, 49, 68 |
43, 569, 9, 7, 68 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 43 x 569 x 9 x 7 x 68 = 14674327920
Therefore, the lowest common multiple of 430,569,630,980,272 is 14674327920.
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 569 x 630 x 980 x 272 = 41088118176000
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
569 : 1, 569
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,569,630,980,272, is 1.
Now, the common factors can be found like this.
430:2x 5x 43
569:569
630:2x 3x 3x 5x 7
980:2x 2x 5x 7x 7
272:2x 2x 2x 2x 17
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 5x 5x 7 = 2800
Therefore, the value for common factors is 2800.
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 = 41088118176000/(1x2800)
LCM = 41088118176000/2800
LCM = 14674327920
Thus, we can understand that the LCM of 430,569,630,980,272 is 14674327920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 430, 569, 630, 980, 272?
Answer: LCM of 430, 569, 630, 980, 272 is 14674327920.
2. How to calculate the LCM of 430, 569, 630, 980, 272?
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, 569, 630, 980, 272.
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}.