LCM of 442, 980, 253, 147, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 980, 253, 147, 585 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 442, 980, 253, 147, 585. So, keep reading to learn more.
Given numbers are 442,980,253,147,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,980,253,147,585 is 493152660.
Find LCM of 442,980,253,147,585 with Prime Factorization
| 2 | 442, 980, 253, 147, 585 |
| 3 | 221, 490, 253, 147, 585 |
| 5 | 221, 490, 253, 49, 195 |
| 7 | 221, 98, 253, 49, 39 |
| 7 | 221, 14, 253, 7, 39 |
| 13 | 221, 2, 253, 1, 39 |
| 17, 2, 253, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 7 x 13 x 17 x 2 x 253 x 1 x 3 = 493152660
Therefore, the lowest common multiple of 442,980,253,147,585 is 493152660.
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.
442 x 980 x 253 x 147 x 585 = 9424147332600
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
253 : 1, 11, 23, 253
147 : 1, 3, 7, 21, 49, 147
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,980,253,147,585, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
980:2x 2x 5x 7x 7
253:11x 23
147:3x 7x 7
585:3x 3x 5x 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 3x 5x 7x 7x 13 = 19110
Therefore, the value for common factors is 19110.
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 = 9424147332600/(1x19110)
LCM = 9424147332600/19110
LCM = 493152660
Thus, we can understand that the LCM of 442,980,253,147,585 is 493152660.
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FAQs on LCM of 442, 980, 253, 147, 585
1. What is the LCM of 442, 980, 253, 147, 585?
Answer: LCM of 442, 980, 253, 147, 585 is 493152660.
2. How to calculate the LCM of 442, 980, 253, 147, 585?
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 442, 980, 253, 147, 585.
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}.