LCM of 884, 980, 704, 518, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 980, 704, 518, 507 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 884, 980, 704, 518, 507. So, keep reading to learn more.
Given numbers are 884,980,704,518,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,980,704,518,507 is 55004389440.
Find LCM of 884,980,704,518,507 with Prime Factorization
| 2 | 884, 980, 704, 518, 507 |
| 2 | 442, 490, 352, 259, 507 |
| 7 | 221, 245, 176, 259, 507 |
| 13 | 221, 35, 176, 37, 507 |
| 17, 35, 176, 37, 39 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 35 x 176 x 37 x 39 = 55004389440
Therefore, the lowest common multiple of 884,980,704,518,507 is 55004389440.
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.
884 x 980 x 704 x 518 x 507 = 160172782049280
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
518 : 1, 2, 7, 14, 37, 74, 259, 518
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,980,704,518,507, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
980:2x 2x 5x 7x 7
704:2x 2x 2x 2x 2x 2x 11
518:2x 7x 37
507:3x 13x 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 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 160172782049280/(1x2912)
LCM = 160172782049280/2912
LCM = 55004389440
Thus, we can understand that the LCM of 884,980,704,518,507 is 55004389440.
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FAQs on LCM of 884, 980, 704, 518, 507
1. What is the LCM of 884, 980, 704, 518, 507?
Answer: LCM of 884, 980, 704, 518, 507 is 55004389440.
2. How to calculate the LCM of 884, 980, 704, 518, 507?
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 884, 980, 704, 518, 507.
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}.