LCM of 759, 583, 312, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 583, 312, 689 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 759, 583, 312, 689. So, keep reading to learn more.
Given numbers are 759,583,312,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,583,312,689 is 4183608.
Find LCM of 759,583,312,689 with Prime Factorization
| 3 | 759, 583, 312, 689 |
| 11 | 253, 583, 104, 689 |
| 13 | 23, 53, 104, 689 |
| 53 | 23, 53, 8, 53 |
| 23, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 53 x 23 x 1 x 8 x 1 = 4183608
Therefore, the lowest common multiple of 759,583,312,689 is 4183608.
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.
759 x 583 x 312 x 689 = 95122695096
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
583 : 1, 11, 53, 583
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,583,312,689, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
583:11x 53
312:2x 2x 2x 3x 13
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 13x 53 = 22737
Therefore, the value for common factors is 22737.
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 = 95122695096/(1x22737)
LCM = 95122695096/22737
LCM = 4183608
Thus, we can understand that the LCM of 759,583,312,689 is 4183608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 759, 583, 312, 689
1. What is the LCM of 759, 583, 312, 689?
Answer: LCM of 759, 583, 312, 689 is 4183608.
2. How to calculate the LCM of 759, 583, 312, 689?
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 759, 583, 312, 689.
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}.