LCM of 152, 416, 566, 671, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 416, 566, 671, 976 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 152, 416, 566, 671, 976. So, keep reading to learn more.
Given numbers are 152,416,566,671,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,416,566,671,976 is 1500914272.
Find LCM of 152,416,566,671,976 with Prime Factorization
| 2 | 152, 416, 566, 671, 976 |
| 2 | 76, 208, 283, 671, 488 |
| 2 | 38, 104, 283, 671, 244 |
| 2 | 19, 52, 283, 671, 122 |
| 61 | 19, 26, 283, 671, 61 |
| 19, 26, 283, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 61 x 19 x 26 x 283 x 11 x 1 = 1500914272
Therefore, the lowest common multiple of 152,416,566,671,976 is 1500914272.
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.
152 x 416 x 566 x 671 x 976 = 23438277271552
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
566 : 1, 2, 283, 566
671 : 1, 11, 61, 671
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,416,566,671,976, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
416:2x 2x 2x 2x 2x 13
566:2x 283
671:11x 61
976:2x 2x 2x 2x 61
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 61 = 15616
Therefore, the value for common factors is 15616.
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 = 23438277271552/(1x15616)
LCM = 23438277271552/15616
LCM = 1500914272
Thus, we can understand that the LCM of 152,416,566,671,976 is 1500914272.
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FAQs on LCM of 152, 416, 566, 671, 976
1. What is the LCM of 152, 416, 566, 671, 976?
Answer: LCM of 152, 416, 566, 671, 976 is 1500914272.
2. How to calculate the LCM of 152, 416, 566, 671, 976?
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 152, 416, 566, 671, 976.
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}.