LCM of 814, 118, 832, 826, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 118, 832, 826, 611 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 814, 118, 832, 826, 611. So, keep reading to learn more.
Given numbers are 814,118,832,826,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,118,832,826,611 is 6573030464.
Find LCM of 814,118,832,826,611 with Prime Factorization
| 2 | 814, 118, 832, 826, 611 |
| 13 | 407, 59, 416, 413, 611 |
| 59 | 407, 59, 32, 413, 47 |
| 407, 1, 32, 7, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 59 x 407 x 1 x 32 x 7 x 47 = 6573030464
Therefore, the lowest common multiple of 814,118,832,826,611 is 6573030464.
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.
814 x 118 x 832 x 826 x 611 = 40332114927104
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
118 : 1, 2, 59, 118
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
826 : 1, 2, 7, 14, 59, 118, 413, 826
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,118,832,826,611, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
118:2x 59
832:2x 2x 2x 2x 2x 2x 13
826:2x 7x 59
611:13x 47
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 13x 59 = 6136
Therefore, the value for common factors is 6136.
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 = 40332114927104/(1x6136)
LCM = 40332114927104/6136
LCM = 6573030464
Thus, we can understand that the LCM of 814,118,832,826,611 is 6573030464.
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FAQs on LCM of 814, 118, 832, 826, 611
1. What is the LCM of 814, 118, 832, 826, 611?
Answer: LCM of 814, 118, 832, 826, 611 is 6573030464.
2. How to calculate the LCM of 814, 118, 832, 826, 611?
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 814, 118, 832, 826, 611.
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}.