LCM of 356, 156, 791, 420, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 156, 791, 420, 638 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 356, 156, 791, 420, 638. So, keep reading to learn more.
Given numbers are 356,156,791,420,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,156,791,420,638 is 17516679180.
Find LCM of 356,156,791,420,638 with Prime Factorization
| 2 | 356, 156, 791, 420, 638 |
| 2 | 178, 78, 791, 210, 319 |
| 3 | 89, 39, 791, 105, 319 |
| 7 | 89, 13, 791, 35, 319 |
| 89, 13, 113, 5, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 89 x 13 x 113 x 5 x 319 = 17516679180
Therefore, the lowest common multiple of 356,156,791,420,638 is 17516679180.
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.
356 x 156 x 791 x 420 x 638 = 11771208408960
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.
356 : 1, 2, 4, 89, 178, 356
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
791 : 1, 7, 113, 791
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,156,791,420,638, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
156:2x 2x 3x 13
791:7x 113
420:2x 2x 3x 5x 7
638:2x 11x 29
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 11771208408960/(1x672)
LCM = 11771208408960/672
LCM = 17516679180
Thus, we can understand that the LCM of 356,156,791,420,638 is 17516679180.
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FAQs on LCM of 356, 156, 791, 420, 638
1. What is the LCM of 356, 156, 791, 420, 638?
Answer: LCM of 356, 156, 791, 420, 638 is 17516679180.
2. How to calculate the LCM of 356, 156, 791, 420, 638?
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 356, 156, 791, 420, 638.
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}.