LCM of 742, 968, 567, 583, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 968, 567, 583, 704 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 742, 968, 567, 583, 704. So, keep reading to learn more.
Given numbers are 742,968,567,583,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,968,567,583,704 is 232714944.
Find LCM of 742,968,567,583,704 with Prime Factorization
| 2 | 742, 968, 567, 583, 704 |
| 2 | 371, 484, 567, 583, 352 |
| 2 | 371, 242, 567, 583, 176 |
| 7 | 371, 121, 567, 583, 88 |
| 11 | 53, 121, 81, 583, 88 |
| 53 | 53, 11, 81, 53, 8 |
| 1, 11, 81, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 53 x 1 x 11 x 81 x 1 x 8 = 232714944
Therefore, the lowest common multiple of 742,968,567,583,704 is 232714944.
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.
742 x 968 x 567 x 583 x 704 = 167148904817664
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
583 : 1, 11, 53, 583
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,968,567,583,704, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
968:2x 2x 2x 11x 11
567:3x 3x 3x 3x 7
583:11x 53
704:2x 2x 2x 2x 2x 2x 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 2x 2x 2x 7x 11x 11x 53 = 718256
Therefore, the value for common factors is 718256.
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 = 167148904817664/(1x718256)
LCM = 167148904817664/718256
LCM = 232714944
Thus, we can understand that the LCM of 742,968,567,583,704 is 232714944.
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FAQs on LCM of 742, 968, 567, 583, 704
1. What is the LCM of 742, 968, 567, 583, 704?
Answer: LCM of 742, 968, 567, 583, 704 is 232714944.
2. How to calculate the LCM of 742, 968, 567, 583, 704?
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 742, 968, 567, 583, 704.
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}.