LCM of 579, 497, 942, 708, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 497, 942, 708, 826 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 579, 497, 942, 708, 826. So, keep reading to learn more.
Given numbers are 579,497,942,708,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,497,942,708,826 is 10662194676.
Find LCM of 579,497,942,708,826 with Prime Factorization
| 2 | 579, 497, 942, 708, 826 |
| 3 | 579, 497, 471, 354, 413 |
| 7 | 193, 497, 157, 118, 413 |
| 59 | 193, 71, 157, 118, 59 |
| 193, 71, 157, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 193 x 71 x 157 x 2 x 1 = 10662194676
Therefore, the lowest common multiple of 579,497,942,708,826 is 10662194676.
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.
579 x 497 x 942 x 708 x 826 = 158525510442768
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.
579 : 1, 3, 193, 579
497 : 1, 7, 71, 497
942 : 1, 2, 3, 6, 157, 314, 471, 942
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,497,942,708,826, is 1.
Now, the common factors can be found like this.
579:3x 193
497:7x 71
942:2x 3x 157
708:2x 2x 3x 59
826:2x 7x 59
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 3x 3x 7x 59 = 14868
Therefore, the value for common factors is 14868.
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 = 158525510442768/(1x14868)
LCM = 158525510442768/14868
LCM = 10662194676
Thus, we can understand that the LCM of 579,497,942,708,826 is 10662194676.
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FAQs on LCM of 579, 497, 942, 708, 826
1. What is the LCM of 579, 497, 942, 708, 826?
Answer: LCM of 579, 497, 942, 708, 826 is 10662194676.
2. How to calculate the LCM of 579, 497, 942, 708, 826?
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 579, 497, 942, 708, 826.
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}.