LCM of 928, 901, 849, 916, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 928, 901, 849, 916, 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 928, 901, 849, 916, 689. So, keep reading to learn more.
Given numbers are 928,901,849,916,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 928,901,849,916,689 is 2113290944544.
Find LCM of 928,901,849,916,689 with Prime Factorization
| 2 | 928, 901, 849, 916, 689 |
| 2 | 464, 901, 849, 458, 689 |
| 53 | 232, 901, 849, 229, 689 |
| 232, 17, 849, 229, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 232 x 17 x 849 x 229 x 13 = 2113290944544
Therefore, the lowest common multiple of 928,901,849,916,689 is 2113290944544.
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.
928 x 901 x 849 x 916 x 689 = 448017680243328
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.
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
901 : 1, 17, 53, 901
849 : 1, 3, 283, 849
916 : 1, 2, 4, 229, 458, 916
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,901,849,916,689, is 1.
Now, the common factors can be found like this.
928:2x 2x 2x 2x 2x 29
901:17x 53
849:3x 283
916:2x 2x 229
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.
2x 2x 53 = 212
Therefore, the value for common factors is 212.
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 = 448017680243328/(1x212)
LCM = 448017680243328/212
LCM = 2113290944544
Thus, we can understand that the LCM of 928,901,849,916,689 is 2113290944544.
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FAQs on LCM of 928, 901, 849, 916, 689
1. What is the LCM of 928, 901, 849, 916, 689?
Answer: LCM of 928, 901, 849, 916, 689 is 2113290944544.
2. How to calculate the LCM of 928, 901, 849, 916, 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 928, 901, 849, 916, 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}.