LCM of 513, 993, 162, 699, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 993, 162, 699, 770 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 513, 993, 162, 699, 770. So, keep reading to learn more.
Given numbers are 513,993,162,699,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,993,162,699,770 is 91393068690.
Find LCM of 513,993,162,699,770 with Prime Factorization
| 2 | 513, 993, 162, 699, 770 |
| 3 | 513, 993, 81, 699, 385 |
| 3 | 171, 331, 27, 233, 385 |
| 3 | 57, 331, 9, 233, 385 |
| 19, 331, 3, 233, 385 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 19 x 331 x 3 x 233 x 385 = 91393068690
Therefore, the lowest common multiple of 513,993,162,699,770 is 91393068690.
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.
513 x 993 x 162 x 699 x 770 = 44417031383340
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
993 : 1, 3, 331, 993
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
699 : 1, 3, 233, 699
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,993,162,699,770, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
993:3x 331
162:2x 3x 3x 3x 3
699:3x 233
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 44417031383340/(1x486)
LCM = 44417031383340/486
LCM = 91393068690
Thus, we can understand that the LCM of 513,993,162,699,770 is 91393068690.
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FAQs on LCM of 513, 993, 162, 699, 770
1. What is the LCM of 513, 993, 162, 699, 770?
Answer: LCM of 513, 993, 162, 699, 770 is 91393068690.
2. How to calculate the LCM of 513, 993, 162, 699, 770?
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 513, 993, 162, 699, 770.
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}.