LCM of 548, 974, 288, 391, 816
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 974, 288, 391, 816 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 548, 974, 288, 391, 816. So, keep reading to learn more.
Given numbers are 548,974,288,391,816
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,974,288,391,816 is 7513093152.
Find LCM of 548,974,288,391,816 with Prime Factorization
| 2 | 548, 974, 288, 391, 816 |
| 2 | 274, 487, 144, 391, 408 |
| 2 | 137, 487, 72, 391, 204 |
| 2 | 137, 487, 36, 391, 102 |
| 3 | 137, 487, 18, 391, 51 |
| 17 | 137, 487, 6, 391, 17 |
| 137, 487, 6, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 137 x 487 x 6 x 23 x 1 = 7513093152
Therefore, the lowest common multiple of 548,974,288,391,816 is 7513093152.
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.
548 x 974 x 288 x 391 x 816 = 49045472096256
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.
548 : 1, 2, 4, 137, 274, 548
974 : 1, 2, 487, 974
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
391 : 1, 17, 23, 391
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,974,288,391,816, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
974:2x 487
288:2x 2x 2x 2x 2x 3x 3
391:17x 23
816:2x 2x 2x 2x 3x 17
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 2x 2x 3x 17 = 6528
Therefore, the value for common factors is 6528.
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 = 49045472096256/(1x6528)
LCM = 49045472096256/6528
LCM = 7513093152
Thus, we can understand that the LCM of 548,974,288,391,816 is 7513093152.
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FAQs on LCM of 548, 974, 288, 391, 816
1. What is the LCM of 548, 974, 288, 391, 816?
Answer: LCM of 548, 974, 288, 391, 816 is 7513093152.
2. How to calculate the LCM of 548, 974, 288, 391, 816?
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 548, 974, 288, 391, 816.
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}.