LCM of 731, 705, 352, 684, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 705, 352, 684, 767 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 731, 705, 352, 684, 767. So, keep reading to learn more.
Given numbers are 731,705,352,684,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,705,352,684,767 is 7930843446240.
Find LCM of 731,705,352,684,767 with Prime Factorization
| 2 | 731, 705, 352, 684, 767 |
| 2 | 731, 705, 176, 342, 767 |
| 3 | 731, 705, 88, 171, 767 |
| 731, 235, 88, 57, 767 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 731 x 235 x 88 x 57 x 767 = 7930843446240
Therefore, the lowest common multiple of 731,705,352,684,767 is 7930843446240.
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.
731 x 705 x 352 x 684 x 767 = 95170121354880
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.
731 : 1, 17, 43, 731
705 : 1, 3, 5, 15, 47, 141, 235, 705
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,705,352,684,767, is 1.
Now, the common factors can be found like this.
731:17x 43
705:3x 5x 47
352:2x 2x 2x 2x 2x 11
684:2x 2x 3x 3x 19
767:13x 59
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 3 = 12
Therefore, the value for common factors is 12.
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 = 95170121354880/(1x12)
LCM = 95170121354880/12
LCM = 7930843446240
Thus, we can understand that the LCM of 731,705,352,684,767 is 7930843446240.
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FAQs on LCM of 731, 705, 352, 684, 767
1. What is the LCM of 731, 705, 352, 684, 767?
Answer: LCM of 731, 705, 352, 684, 767 is 7930843446240.
2. How to calculate the LCM of 731, 705, 352, 684, 767?
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 731, 705, 352, 684, 767.
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}.