LCM of 926, 778, 724, 583, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 778, 724, 583, 693 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 926, 778, 724, 583, 693. So, keep reading to learn more.
Given numbers are 926,778,724,583,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,778,724,583,693 is 4789368602172.
Find LCM of 926,778,724,583,693 with Prime Factorization
| 2 | 926, 778, 724, 583, 693 |
| 11 | 463, 389, 362, 583, 693 |
| 463, 389, 362, 53, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 463 x 389 x 362 x 53 x 63 = 4789368602172
Therefore, the lowest common multiple of 926,778,724,583,693 is 4789368602172.
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.
926 x 778 x 724 x 583 x 693 = 210732218495568
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.
926 : 1, 2, 463, 926
778 : 1, 2, 389, 778
724 : 1, 2, 4, 181, 362, 724
583 : 1, 11, 53, 583
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,778,724,583,693, is 1.
Now, the common factors can be found like this.
926:2x 463
778:2x 389
724:2x 2x 181
583:11x 53
693:3x 3x 7x 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 11 = 44
Therefore, the value for common factors is 44.
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 = 210732218495568/(1x44)
LCM = 210732218495568/44
LCM = 4789368602172
Thus, we can understand that the LCM of 926,778,724,583,693 is 4789368602172.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 926, 778, 724, 583, 693
1. What is the LCM of 926, 778, 724, 583, 693?
Answer: LCM of 926, 778, 724, 583, 693 is 4789368602172.
2. How to calculate the LCM of 926, 778, 724, 583, 693?
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 926, 778, 724, 583, 693.
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}.