LCM of 282, 262, 906, 490, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 262, 906, 490, 820 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 282, 262, 906, 490, 820. So, keep reading to learn more.
Given numbers are 282,262,906,490,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,262,906,490,820 is 112066881780.
Find LCM of 282,262,906,490,820 with Prime Factorization
| 2 | 282, 262, 906, 490, 820 |
| 3 | 141, 131, 453, 245, 410 |
| 5 | 47, 131, 151, 245, 410 |
| 47, 131, 151, 49, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 131 x 151 x 49 x 82 = 112066881780
Therefore, the lowest common multiple of 282,262,906,490,820 is 112066881780.
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.
282 x 262 x 906 x 490 x 820 = 26896051627200
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
262 : 1, 2, 131, 262
906 : 1, 2, 3, 6, 151, 302, 453, 906
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,262,906,490,820, is 2.
Now, the common factors can be found like this.
282:2x 3x 47
262:2x 131
906:2x 3x 151
490:2x 5x 7x 7
820:2x 2x 5x 41
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 5 = 120
Therefore, the value for common factors is 120.
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 = 26896051627200/(2x120)
LCM = 26896051627200/240
LCM = 112066881780
Thus, we can understand that the LCM of 282,262,906,490,820 is 112066881780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 262, 906, 490, 820
1. What is the LCM of 282, 262, 906, 490, 820?
Answer: LCM of 282, 262, 906, 490, 820 is 112066881780.
2. How to calculate the LCM of 282, 262, 906, 490, 820?
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 282, 262, 906, 490, 820.
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}.