LCM of 990, 555, 714, 782, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 555, 714, 782, 567 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 990, 555, 714, 782, 567. So, keep reading to learn more.
Given numbers are 990,555,714,782,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,555,714,782,567 is 902306790.
Find LCM of 990,555,714,782,567 with Prime Factorization
| 2 | 990, 555, 714, 782, 567 |
| 3 | 495, 555, 357, 391, 567 |
| 3 | 165, 185, 119, 391, 189 |
| 5 | 55, 185, 119, 391, 63 |
| 7 | 11, 37, 119, 391, 63 |
| 17 | 11, 37, 17, 391, 9 |
| 11, 37, 1, 23, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 17 x 11 x 37 x 1 x 23 x 9 = 902306790
Therefore, the lowest common multiple of 990,555,714,782,567 is 902306790.
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.
990 x 555 x 714 x 782 x 567 = 173946702976200
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.
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
555 : 1, 3, 5, 15, 37, 111, 185, 555
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
782 : 1, 2, 17, 23, 34, 46, 391, 782
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,555,714,782,567, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
555:3x 5x 37
714:2x 3x 7x 17
782:2x 17x 23
567:3x 3x 3x 3x 7
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 3x 3x 3x 3x 5x 7x 17 = 192780
Therefore, the value for common factors is 192780.
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 = 173946702976200/(1x192780)
LCM = 173946702976200/192780
LCM = 902306790
Thus, we can understand that the LCM of 990,555,714,782,567 is 902306790.
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FAQs on LCM of 990, 555, 714, 782, 567
1. What is the LCM of 990, 555, 714, 782, 567?
Answer: LCM of 990, 555, 714, 782, 567 is 902306790.
2. How to calculate the LCM of 990, 555, 714, 782, 567?
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 990, 555, 714, 782, 567.
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}.