LCM of 237, 826, 637, 903, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 826, 637, 903, 396 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 237, 826, 637, 903, 396. So, keep reading to learn more.
Given numbers are 237,826,637,903,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,826,637,903,396 is 50557102596.
Find LCM of 237,826,637,903,396 with Prime Factorization
| 2 | 237, 826, 637, 903, 396 |
| 3 | 237, 413, 637, 903, 198 |
| 7 | 79, 413, 637, 301, 66 |
| 79, 59, 91, 43, 66 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 79 x 59 x 91 x 43 x 66 = 50557102596
Therefore, the lowest common multiple of 237,826,637,903,396 is 50557102596.
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.
237 x 826 x 637 x 903 x 396 = 44591364489672
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.
237 : 1, 3, 79, 237
826 : 1, 2, 7, 14, 59, 118, 413, 826
637 : 1, 7, 13, 49, 91, 637
903 : 1, 3, 7, 21, 43, 129, 301, 903
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,826,637,903,396, is 1.
Now, the common factors can be found like this.
237:3x 79
826:2x 7x 59
637:7x 7x 13
903:3x 7x 43
396:2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 44591364489672/(1x882)
LCM = 44591364489672/882
LCM = 50557102596
Thus, we can understand that the LCM of 237,826,637,903,396 is 50557102596.
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FAQs on LCM of 237, 826, 637, 903, 396
1. What is the LCM of 237, 826, 637, 903, 396?
Answer: LCM of 237, 826, 637, 903, 396 is 50557102596.
2. How to calculate the LCM of 237, 826, 637, 903, 396?
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 237, 826, 637, 903, 396.
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}.