LCM of 630, 442, 862, 858, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 442, 862, 858, 238 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 630, 442, 862, 858, 238. So, keep reading to learn more.
Given numbers are 630,442,862,858,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,442,862,858,238 is 660089430.
Find LCM of 630,442,862,858,238 with Prime Factorization
| 2 | 630, 442, 862, 858, 238 |
| 3 | 315, 221, 431, 429, 119 |
| 7 | 105, 221, 431, 143, 119 |
| 13 | 15, 221, 431, 143, 17 |
| 17 | 15, 17, 431, 11, 17 |
| 15, 1, 431, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 15 x 1 x 431 x 11 x 1 = 660089430
Therefore, the lowest common multiple of 630,442,862,858,238 is 660089430.
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.
630 x 442 x 862 x 858 x 238 = 49015600714080
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
442 : 1, 2, 13, 17, 26, 34, 221, 442
862 : 1, 2, 431, 862
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,442,862,858,238, is 2.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
442:2x 13x 17
862:2x 431
858:2x 3x 11x 13
238:2x 7x 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 3x 7x 13x 17 = 37128
Therefore, the value for common factors is 37128.
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 = 49015600714080/(2x37128)
LCM = 49015600714080/74256
LCM = 660089430
Thus, we can understand that the LCM of 630,442,862,858,238 is 660089430.
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FAQs on LCM of 630, 442, 862, 858, 238
1. What is the LCM of 630, 442, 862, 858, 238?
Answer: LCM of 630, 442, 862, 858, 238 is 660089430.
2. How to calculate the LCM of 630, 442, 862, 858, 238?
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 630, 442, 862, 858, 238.
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}.