LCM of 736, 489, 551, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 489, 551, 608 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 736, 489, 551, 608. So, keep reading to learn more.
Given numbers are 736,489,551,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,489,551,608 is 198307104.
Find LCM of 736,489,551,608 with Prime Factorization
| 2 | 736, 489, 551, 608 |
| 2 | 368, 489, 551, 304 |
| 2 | 184, 489, 551, 152 |
| 2 | 92, 489, 551, 76 |
| 2 | 46, 489, 551, 38 |
| 19 | 23, 489, 551, 19 |
| 23, 489, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 19 x 23 x 489 x 29 x 1 = 198307104
Therefore, the lowest common multiple of 736,489,551,608 is 198307104.
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.
736 x 489 x 551 x 608 = 120570719232
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
489 : 1, 3, 163, 489
551 : 1, 19, 29, 551
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,489,551,608, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
489:3x 163
551:19x 29
608:2x 2x 2x 2x 2x 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 2x 2x 19 = 608
Therefore, the value for common factors is 608.
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 = 120570719232/(1x608)
LCM = 120570719232/608
LCM = 198307104
Thus, we can understand that the LCM of 736,489,551,608 is 198307104.
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FAQs on LCM of 736, 489, 551, 608
1. What is the LCM of 736, 489, 551, 608?
Answer: LCM of 736, 489, 551, 608 is 198307104.
2. How to calculate the LCM of 736, 489, 551, 608?
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 736, 489, 551, 608.
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}.