LCM of 426, 824, 840, 297, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 824, 840, 297, 787 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 426, 824, 840, 297, 787. So, keep reading to learn more.
Given numbers are 426,824,840,297,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,824,840,297,787 is 478613325960.
Find LCM of 426,824,840,297,787 with Prime Factorization
| 2 | 426, 824, 840, 297, 787 |
| 2 | 213, 412, 420, 297, 787 |
| 2 | 213, 206, 210, 297, 787 |
| 3 | 213, 103, 105, 297, 787 |
| 71, 103, 35, 99, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 71 x 103 x 35 x 99 x 787 = 478613325960
Therefore, the lowest common multiple of 426,824,840,297,787 is 478613325960.
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.
426 x 824 x 840 x 297 x 787 = 68920318938240
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
824 : 1, 2, 4, 8, 103, 206, 412, 824
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
297 : 1, 3, 9, 11, 27, 33, 99, 297
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,824,840,297,787, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
824:2x 2x 2x 103
840:2x 2x 2x 3x 5x 7
297:3x 3x 3x 11
787:787
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 68920318938240/(1x144)
LCM = 68920318938240/144
LCM = 478613325960
Thus, we can understand that the LCM of 426,824,840,297,787 is 478613325960.
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FAQs on LCM of 426, 824, 840, 297, 787
1. What is the LCM of 426, 824, 840, 297, 787?
Answer: LCM of 426, 824, 840, 297, 787 is 478613325960.
2. How to calculate the LCM of 426, 824, 840, 297, 787?
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 426, 824, 840, 297, 787.
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}.