LCM of 558, 824, 621, 321, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 824, 621, 321, 354 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 558, 824, 621, 321, 354. So, keep reading to learn more.
Given numbers are 558,824,621,321,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,824,621,321,354 is 100142007912.
Find LCM of 558,824,621,321,354 with Prime Factorization
| 2 | 558, 824, 621, 321, 354 |
| 3 | 279, 412, 621, 321, 177 |
| 3 | 93, 412, 207, 107, 59 |
| 31, 412, 69, 107, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 412 x 69 x 107 x 59 = 100142007912
Therefore, the lowest common multiple of 558,824,621,321,354 is 100142007912.
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.
558 x 824 x 621 x 321 x 354 = 32446010563488
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
824 : 1, 2, 4, 8, 103, 206, 412, 824
621 : 1, 3, 9, 23, 27, 69, 207, 621
321 : 1, 3, 107, 321
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,824,621,321,354, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
824:2x 2x 2x 103
621:3x 3x 3x 23
321:3x 107
354:2x 3x 59
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 3 = 324
Therefore, the value for common factors is 324.
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 = 32446010563488/(1x324)
LCM = 32446010563488/324
LCM = 100142007912
Thus, we can understand that the LCM of 558,824,621,321,354 is 100142007912.
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FAQs on LCM of 558, 824, 621, 321, 354
1. What is the LCM of 558, 824, 621, 321, 354?
Answer: LCM of 558, 824, 621, 321, 354 is 100142007912.
2. How to calculate the LCM of 558, 824, 621, 321, 354?
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 558, 824, 621, 321, 354.
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}.