LCM of 708, 184, 805, 765, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 708, 184, 805, 765, 296 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, 184, 805, 765, 296. So, keep reading to learn more.
Given numbers are 708,184,805,765,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 708,184,805,765,296 is 2150953560.
Find LCM of 708,184,805,765,296 with Prime Factorization
| 2 | 708, 184, 805, 765, 296 |
| 2 | 354, 92, 805, 765, 148 |
| 2 | 177, 46, 805, 765, 74 |
| 3 | 177, 23, 805, 765, 37 |
| 5 | 59, 23, 805, 255, 37 |
| 23 | 59, 23, 161, 51, 37 |
| 59, 1, 7, 51, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 59 x 1 x 7 x 51 x 37 = 2150953560
Therefore, the lowest common multiple of 708,184,805,765,296 is 2150953560.
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 184 x 805 x 765 x 296 = 23746527302400
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
184 : 1, 2, 4, 8, 23, 46, 92, 184
805 : 1, 5, 7, 23, 35, 115, 161, 805
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,184,805,765,296, is 1.
Now, the common factors can be found like this.
708:2x 2x 3x 59
184:2x 2x 2x 23
805:5x 7x 23
765:3x 3x 5x 17
296:2x 2x 2x 37
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 23 = 11040
Therefore, the value for common factors is 11040.
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 = 23746527302400/(1x11040)
LCM = 23746527302400/11040
LCM = 2150953560
Thus, we can understand that the LCM of 708,184,805,765,296 is 2150953560.
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FAQs on LCM of 708, 184, 805, 765, 296
1. What is the LCM of 708, 184, 805, 765, 296?
Answer: LCM of 708, 184, 805, 765, 296 is 2150953560.
2. How to calculate the LCM of 708, 184, 805, 765, 296?
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, 184, 805, 765, 296.
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}.