LCM of 423, 924, 493, 377, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 924, 493, 377, 588 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 423, 924, 493, 377, 588. So, keep reading to learn more.
Given numbers are 423,924,493,377,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,924,493,377,588 is 5844931092.
Find LCM of 423,924,493,377,588 with Prime Factorization
| 2 | 423, 924, 493, 377, 588 |
| 2 | 423, 462, 493, 377, 294 |
| 3 | 423, 231, 493, 377, 147 |
| 7 | 141, 77, 493, 377, 49 |
| 29 | 141, 11, 493, 377, 7 |
| 141, 11, 17, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 141 x 11 x 17 x 13 x 7 = 5844931092
Therefore, the lowest common multiple of 423,924,493,377,588 is 5844931092.
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.
423 x 924 x 493 x 377 x 588 = 42714756420336
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.
423 : 1, 3, 9, 47, 141, 423
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
493 : 1, 17, 29, 493
377 : 1, 13, 29, 377
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,924,493,377,588, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
924:2x 2x 3x 7x 11
493:17x 29
377:13x 29
588:2x 2x 3x 7x 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 7x 29 = 7308
Therefore, the value for common factors is 7308.
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 = 42714756420336/(1x7308)
LCM = 42714756420336/7308
LCM = 5844931092
Thus, we can understand that the LCM of 423,924,493,377,588 is 5844931092.
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FAQs on LCM of 423, 924, 493, 377, 588
1. What is the LCM of 423, 924, 493, 377, 588?
Answer: LCM of 423, 924, 493, 377, 588 is 5844931092.
2. How to calculate the LCM of 423, 924, 493, 377, 588?
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 423, 924, 493, 377, 588.
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}.