LCM of 139, 462, 382, 616, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 462, 382, 616, 570 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 139, 462, 382, 616, 570. So, keep reading to learn more.
Given numbers are 139,462,382,616,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,462,382,616,570 is 4660942440.
Find LCM of 139,462,382,616,570 with Prime Factorization
| 2 | 139, 462, 382, 616, 570 |
| 3 | 139, 231, 191, 308, 285 |
| 7 | 139, 77, 191, 308, 95 |
| 11 | 139, 11, 191, 44, 95 |
| 139, 1, 191, 4, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 139 x 1 x 191 x 4 x 95 = 4660942440
Therefore, the lowest common multiple of 139,462,382,616,570 is 4660942440.
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.
139 x 462 x 382 x 616 x 570 = 8613421629120
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.
139 : 1, 139
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
382 : 1, 2, 191, 382
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,462,382,616,570, is 1.
Now, the common factors can be found like this.
139:139
462:2x 3x 7x 11
382:2x 191
616:2x 2x 2x 7x 11
570:2x 3x 5x 19
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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 8613421629120/(1x1848)
LCM = 8613421629120/1848
LCM = 4660942440
Thus, we can understand that the LCM of 139,462,382,616,570 is 4660942440.
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FAQs on LCM of 139, 462, 382, 616, 570
1. What is the LCM of 139, 462, 382, 616, 570?
Answer: LCM of 139, 462, 382, 616, 570 is 4660942440.
2. How to calculate the LCM of 139, 462, 382, 616, 570?
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 139, 462, 382, 616, 570.
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}.