LCM of 304, 884, 608, 149, 910
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 884, 608, 149, 910 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 304, 884, 608, 149, 910. So, keep reading to learn more.
Given numbers are 304,884,608,149,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,884,608,149,910 is 700729120.
Find LCM of 304,884,608,149,910 with Prime Factorization
| 2 | 304, 884, 608, 149, 910 |
| 2 | 152, 442, 304, 149, 455 |
| 2 | 76, 221, 152, 149, 455 |
| 2 | 38, 221, 76, 149, 455 |
| 13 | 19, 221, 38, 149, 455 |
| 19 | 19, 17, 38, 149, 35 |
| 1, 17, 2, 149, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 19 x 1 x 17 x 2 x 149 x 35 = 700729120
Therefore, the lowest common multiple of 304,884,608,149,910 is 700729120.
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.
304 x 884 x 608 x 149 x 910 = 22154251857920
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
149 : 1, 149
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,884,608,149,910, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
884:2x 2x 13x 17
608:2x 2x 2x 2x 2x 19
149:149
910:2x 5x 7x 13
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 13x 19 = 31616
Therefore, the value for common factors is 31616.
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 = 22154251857920/(1x31616)
LCM = 22154251857920/31616
LCM = 700729120
Thus, we can understand that the LCM of 304,884,608,149,910 is 700729120.
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FAQs on LCM of 304, 884, 608, 149, 910
1. What is the LCM of 304, 884, 608, 149, 910?
Answer: LCM of 304, 884, 608, 149, 910 is 700729120.
2. How to calculate the LCM of 304, 884, 608, 149, 910?
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 304, 884, 608, 149, 910.
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}.