LCM of 759, 930, 363, 506, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 930, 363, 506, 989 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, 930, 363, 506, 989. So, keep reading to learn more.
Given numbers are 759,930,363,506,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,930,363,506,989 is 111292170.
Find LCM of 759,930,363,506,989 with Prime Factorization
| 2 | 759, 930, 363, 506, 989 |
| 3 | 759, 465, 363, 253, 989 |
| 11 | 253, 155, 121, 253, 989 |
| 23 | 23, 155, 11, 23, 989 |
| 1, 155, 11, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 1 x 155 x 11 x 1 x 43 = 111292170
Therefore, the lowest common multiple of 759,930,363,506,989 is 111292170.
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 930 x 363 x 506 x 989 = 128226609171540
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
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
363 : 1, 3, 11, 33, 121, 363
506 : 1, 2, 11, 22, 23, 46, 253, 506
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,930,363,506,989, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
930:2x 3x 5x 31
363:3x 11x 11
506:2x 11x 23
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 11x 23x 23 = 1152162
Therefore, the value for common factors is 1152162.
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 = 128226609171540/(1x1152162)
LCM = 128226609171540/1152162
LCM = 111292170
Thus, we can understand that the LCM of 759,930,363,506,989 is 111292170.
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FAQs on LCM of 759, 930, 363, 506, 989
1. What is the LCM of 759, 930, 363, 506, 989?
Answer: LCM of 759, 930, 363, 506, 989 is 111292170.
2. How to calculate the LCM of 759, 930, 363, 506, 989?
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, 930, 363, 506, 989.
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}.