LCM of 387, 870, 936, 916, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 870, 936, 916, 598 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 387, 870, 936, 916, 598. So, keep reading to learn more.
Given numbers are 387,870,936,916,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,870,936,916,598 is 30738001320.
Find LCM of 387,870,936,916,598 with Prime Factorization
| 2 | 387, 870, 936, 916, 598 |
| 2 | 387, 435, 468, 458, 299 |
| 3 | 387, 435, 234, 229, 299 |
| 3 | 129, 145, 78, 229, 299 |
| 13 | 43, 145, 26, 229, 299 |
| 43, 145, 2, 229, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 43 x 145 x 2 x 229 x 23 = 30738001320
Therefore, the lowest common multiple of 387,870,936,916,598 is 30738001320.
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.
387 x 870 x 936 x 916 x 598 = 172624615413120
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.
387 : 1, 3, 9, 43, 129, 387
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
916 : 1, 2, 4, 229, 458, 916
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,870,936,916,598, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
870:2x 3x 5x 29
936:2x 2x 2x 3x 3x 13
916:2x 2x 229
598:2x 13x 23
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 3x 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 172624615413120/(1x5616)
LCM = 172624615413120/5616
LCM = 30738001320
Thus, we can understand that the LCM of 387,870,936,916,598 is 30738001320.
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FAQs on LCM of 387, 870, 936, 916, 598
1. What is the LCM of 387, 870, 936, 916, 598?
Answer: LCM of 387, 870, 936, 916, 598 is 30738001320.
2. How to calculate the LCM of 387, 870, 936, 916, 598?
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 387, 870, 936, 916, 598.
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}.