LCM of 422, 924, 442, 550, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 924, 442, 550, 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 422, 924, 442, 550, 507. So, keep reading to learn more.
Given numbers are 422,924,442,550,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,924,442,550,507 is 14003289300.
Find LCM of 422,924,442,550,507 with Prime Factorization
| 2 | 422, 924, 442, 550, 507 |
| 3 | 211, 462, 221, 275, 507 |
| 11 | 211, 154, 221, 275, 169 |
| 13 | 211, 14, 221, 25, 169 |
| 211, 14, 17, 25, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 211 x 14 x 17 x 25 x 13 = 14003289300
Therefore, the lowest common multiple of 422,924,442,550,507 is 14003289300.
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.
422 x 924 x 442 x 550 x 507 = 48059288877600
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.
422 : 1, 2, 211, 422
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
442 : 1, 2, 13, 17, 26, 34, 221, 442
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
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 422,924,442,550,507, is 1.
Now, the common factors can be found like this.
422:2x 211
924:2x 2x 3x 7x 11
442:2x 13x 17
550:2x 5x 5x 11
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 3x 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 48059288877600/(1x3432)
LCM = 48059288877600/3432
LCM = 14003289300
Thus, we can understand that the LCM of 422,924,442,550,507 is 14003289300.
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FAQs on LCM of 422, 924, 442, 550, 507
1. What is the LCM of 422, 924, 442, 550, 507?
Answer: LCM of 422, 924, 442, 550, 507 is 14003289300.
2. How to calculate the LCM of 422, 924, 442, 550, 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 422, 924, 442, 550, 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}.