LCM of 288, 452, 884, 901, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 452, 884, 901, 790 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 288, 452, 884, 901, 790. So, keep reading to learn more.
Given numbers are 288,452,884,901,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,452,884,901,790 is 150569209440.
Find LCM of 288,452,884,901,790 with Prime Factorization
| 2 | 288, 452, 884, 901, 790 |
| 2 | 144, 226, 442, 901, 395 |
| 17 | 72, 113, 221, 901, 395 |
| 72, 113, 13, 53, 395 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 72 x 113 x 13 x 53 x 395 = 150569209440
Therefore, the lowest common multiple of 288,452,884,901,790 is 150569209440.
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.
288 x 452 x 884 x 901 x 790 = 81909649935360
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
452 : 1, 2, 4, 113, 226, 452
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
901 : 1, 17, 53, 901
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,452,884,901,790, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
452:2x 2x 113
884:2x 2x 13x 17
901:17x 53
790:2x 5x 79
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 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 81909649935360/(1x544)
LCM = 81909649935360/544
LCM = 150569209440
Thus, we can understand that the LCM of 288,452,884,901,790 is 150569209440.
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FAQs on LCM of 288, 452, 884, 901, 790
1. What is the LCM of 288, 452, 884, 901, 790?
Answer: LCM of 288, 452, 884, 901, 790 is 150569209440.
2. How to calculate the LCM of 288, 452, 884, 901, 790?
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 288, 452, 884, 901, 790.
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}.