LCM of 884, 624, 578, 657, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 624, 578, 657, 549 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 884, 624, 578, 657, 549. So, keep reading to learn more.
Given numbers are 884,624,578,657,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,624,578,657,549 is 2409108624.
Find LCM of 884,624,578,657,549 with Prime Factorization
| 2 | 884, 624, 578, 657, 549 |
| 2 | 442, 312, 289, 657, 549 |
| 3 | 221, 156, 289, 657, 549 |
| 3 | 221, 52, 289, 219, 183 |
| 13 | 221, 52, 289, 73, 61 |
| 17 | 17, 4, 289, 73, 61 |
| 1, 4, 17, 73, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 1 x 4 x 17 x 73 x 61 = 2409108624
Therefore, the lowest common multiple of 884,624,578,657,549 is 2409108624.
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.
884 x 624 x 578 x 657 x 549 = 115001209275264
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
578 : 1, 2, 17, 34, 289, 578
657 : 1, 3, 9, 73, 219, 657
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,624,578,657,549, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
624:2x 2x 2x 2x 3x 13
578:2x 17x 17
657:3x 3x 73
549:3x 3x 61
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 3x 3x 3x 13x 17 = 47736
Therefore, the value for common factors is 47736.
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 = 115001209275264/(1x47736)
LCM = 115001209275264/47736
LCM = 2409108624
Thus, we can understand that the LCM of 884,624,578,657,549 is 2409108624.
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FAQs on LCM of 884, 624, 578, 657, 549
1. What is the LCM of 884, 624, 578, 657, 549?
Answer: LCM of 884, 624, 578, 657, 549 is 2409108624.
2. How to calculate the LCM of 884, 624, 578, 657, 549?
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 884, 624, 578, 657, 549.
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}.