LCM of 153, 916, 412, 954, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 916, 412, 954, 637 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 153, 916, 412, 954, 637. So, keep reading to learn more.
Given numbers are 153,916,412,954,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,916,412,954,637 is 487348272684.
Find LCM of 153,916,412,954,637 with Prime Factorization
| 2 | 153, 916, 412, 954, 637 |
| 2 | 153, 458, 206, 477, 637 |
| 3 | 153, 229, 103, 477, 637 |
| 3 | 51, 229, 103, 159, 637 |
| 17, 229, 103, 53, 637 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 229 x 103 x 53 x 637 = 487348272684
Therefore, the lowest common multiple of 153,916,412,954,637 is 487348272684.
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.
153 x 916 x 412 x 954 x 637 = 35089075633248
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.
153 : 1, 3, 9, 17, 51, 153
916 : 1, 2, 4, 229, 458, 916
412 : 1, 2, 4, 103, 206, 412
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,916,412,954,637, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
916:2x 2x 229
412:2x 2x 103
954:2x 3x 3x 53
637:7x 7x 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 3 = 72
Therefore, the value for common factors is 72.
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 = 35089075633248/(1x72)
LCM = 35089075633248/72
LCM = 487348272684
Thus, we can understand that the LCM of 153,916,412,954,637 is 487348272684.
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FAQs on LCM of 153, 916, 412, 954, 637
1. What is the LCM of 153, 916, 412, 954, 637?
Answer: LCM of 153, 916, 412, 954, 637 is 487348272684.
2. How to calculate the LCM of 153, 916, 412, 954, 637?
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 153, 916, 412, 954, 637.
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}.