LCM of 708, 169, 952, 665, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 169, 952, 665, 720 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 708, 169, 952, 665, 720. So, keep reading to learn more.
Given numbers are 708,169,952,665,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,169,952,665,720 is 16231990320.
Find LCM of 708,169,952,665,720 with Prime Factorization
| 2 | 708, 169, 952, 665, 720 |
| 2 | 354, 169, 476, 665, 360 |
| 2 | 177, 169, 238, 665, 180 |
| 3 | 177, 169, 119, 665, 90 |
| 5 | 59, 169, 119, 665, 30 |
| 7 | 59, 169, 119, 133, 6 |
| 59, 169, 17, 19, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 59 x 169 x 17 x 19 x 6 = 16231990320
Therefore, the lowest common multiple of 708,169,952,665,720 is 16231990320.
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.
708 x 169 x 952 x 665 x 720 = 54539487475200
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.
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
169 : 1, 13, 169
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
665 : 1, 5, 7, 19, 35, 95, 133, 665
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,169,952,665,720, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
169:13x 13
952:2x 2x 2x 7x 17
665:5x 7x 19
720:2x 2x 2x 2x 3x 3x 5
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 3x 5x 7 = 3360
Therefore, the value for common factors is 3360.
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 = 54539487475200/(1x3360)
LCM = 54539487475200/3360
LCM = 16231990320
Thus, we can understand that the LCM of 708,169,952,665,720 is 16231990320.
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FAQs on LCM of 708, 169, 952, 665, 720
1. What is the LCM of 708, 169, 952, 665, 720?
Answer: LCM of 708, 169, 952, 665, 720 is 16231990320.
2. How to calculate the LCM of 708, 169, 952, 665, 720?
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 708, 169, 952, 665, 720.
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}.