LCM of 954, 446, 598, 639, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 446, 598, 639, 644 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 954, 446, 598, 639, 644. So, keep reading to learn more.
Given numbers are 954,446,598,639,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,446,598,639,644 is 63228198852.
Find LCM of 954,446,598,639,644 with Prime Factorization
| 2 | 954, 446, 598, 639, 644 |
| 3 | 477, 223, 299, 639, 322 |
| 3 | 159, 223, 299, 213, 322 |
| 23 | 53, 223, 299, 71, 322 |
| 53, 223, 13, 71, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 53 x 223 x 13 x 71 x 14 = 63228198852
Therefore, the lowest common multiple of 954,446,598,639,644 is 63228198852.
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.
954 x 446 x 598 x 639 x 644 = 104705897298912
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
446 : 1, 2, 223, 446
598 : 1, 2, 13, 23, 26, 46, 299, 598
639 : 1, 3, 9, 71, 213, 639
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,446,598,639,644, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
446:2x 223
598:2x 13x 23
639:3x 3x 71
644:2x 2x 7x 23
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 3x 23 = 1656
Therefore, the value for common factors is 1656.
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 = 104705897298912/(1x1656)
LCM = 104705897298912/1656
LCM = 63228198852
Thus, we can understand that the LCM of 954,446,598,639,644 is 63228198852.
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FAQs on LCM of 954, 446, 598, 639, 644
1. What is the LCM of 954, 446, 598, 639, 644?
Answer: LCM of 954, 446, 598, 639, 644 is 63228198852.
2. How to calculate the LCM of 954, 446, 598, 639, 644?
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 954, 446, 598, 639, 644.
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}.