LCM of 826, 420, 592, 596, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 420, 592, 596, 947 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 826, 420, 592, 596, 947. So, keep reading to learn more.
Given numbers are 826,420,592,596,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,420,592,596,947 is 517486786320.
Find LCM of 826,420,592,596,947 with Prime Factorization
| 2 | 826, 420, 592, 596, 947 |
| 2 | 413, 210, 296, 298, 947 |
| 7 | 413, 105, 148, 149, 947 |
| 59, 15, 148, 149, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 15 x 148 x 149 x 947 = 517486786320
Therefore, the lowest common multiple of 826,420,592,596,947 is 517486786320.
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.
826 x 420 x 592 x 596 x 947 = 115917040135680
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
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
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
596 : 1, 2, 4, 149, 298, 596
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,420,592,596,947, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
420:2x 2x 3x 5x 7
592:2x 2x 2x 2x 37
596:2x 2x 149
947:947
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 7 = 224
Therefore, the value for common factors is 224.
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 = 115917040135680/(1x224)
LCM = 115917040135680/224
LCM = 517486786320
Thus, we can understand that the LCM of 826,420,592,596,947 is 517486786320.
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FAQs on LCM of 826, 420, 592, 596, 947
1. What is the LCM of 826, 420, 592, 596, 947?
Answer: LCM of 826, 420, 592, 596, 947 is 517486786320.
2. How to calculate the LCM of 826, 420, 592, 596, 947?
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 826, 420, 592, 596, 947.
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}.