LCM of 272, 699, 770, 289, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 699, 770, 289, 553 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 272, 699, 770, 289, 553. So, keep reading to learn more.
Given numbers are 272,699,770,289,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,699,770,289,553 is 98306633040.
Find LCM of 272,699,770,289,553 with Prime Factorization
| 2 | 272, 699, 770, 289, 553 |
| 7 | 136, 699, 385, 289, 553 |
| 17 | 136, 699, 55, 289, 79 |
| 8, 699, 55, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 8 x 699 x 55 x 17 x 79 = 98306633040
Therefore, the lowest common multiple of 272,699,770,289,553 is 98306633040.
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.
272 x 699 x 770 x 289 x 553 = 23396978663520
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
699 : 1, 3, 233, 699
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
289 : 1, 17, 289
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,699,770,289,553, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
699:3x 233
770:2x 5x 7x 11
289:17x 17
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 17 = 238
Therefore, the value for common factors is 238.
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 = 23396978663520/(1x238)
LCM = 23396978663520/238
LCM = 98306633040
Thus, we can understand that the LCM of 272,699,770,289,553 is 98306633040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 272, 699, 770, 289, 553
1. What is the LCM of 272, 699, 770, 289, 553?
Answer: LCM of 272, 699, 770, 289, 553 is 98306633040.
2. How to calculate the LCM of 272, 699, 770, 289, 553?
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 272, 699, 770, 289, 553.
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}.