LCM of 369, 968, 616, 494, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 968, 616, 494, 833 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 369, 968, 616, 494, 833. So, keep reading to learn more.
Given numbers are 369,968,616,494,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,968,616,494,833 is 73492611192.
Find LCM of 369,968,616,494,833 with Prime Factorization
| 2 | 369, 968, 616, 494, 833 |
| 2 | 369, 484, 308, 247, 833 |
| 2 | 369, 242, 154, 247, 833 |
| 7 | 369, 121, 77, 247, 833 |
| 11 | 369, 121, 11, 247, 119 |
| 369, 1, 11, 247, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 369 x 1 x 11 x 247 x 119 = 73492611192
Therefore, the lowest common multiple of 369,968,616,494,833 is 73492611192.
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.
369 x 968 x 616 x 494 x 833 = 90542896988544
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.
369 : 1, 3, 9, 41, 123, 369
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
494 : 1, 2, 13, 19, 26, 38, 247, 494
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,968,616,494,833, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
968:2x 2x 2x 11x 11
616:2x 2x 2x 7x 11
494:2x 13x 19
833:7x 7x 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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 90542896988544/(1x1232)
LCM = 90542896988544/1232
LCM = 73492611192
Thus, we can understand that the LCM of 369,968,616,494,833 is 73492611192.
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FAQs on LCM of 369, 968, 616, 494, 833
1. What is the LCM of 369, 968, 616, 494, 833?
Answer: LCM of 369, 968, 616, 494, 833 is 73492611192.
2. How to calculate the LCM of 369, 968, 616, 494, 833?
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 369, 968, 616, 494, 833.
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}.