LCM of 423, 460, 240, 824, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 460, 240, 824, 817 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 423, 460, 240, 824, 817. So, keep reading to learn more.
Given numbers are 423,460,240,824,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,460,240,824,817 is 65496406320.
Find LCM of 423,460,240,824,817 with Prime Factorization
| 2 | 423, 460, 240, 824, 817 |
| 2 | 423, 230, 120, 412, 817 |
| 2 | 423, 115, 60, 206, 817 |
| 3 | 423, 115, 30, 103, 817 |
| 5 | 141, 115, 10, 103, 817 |
| 141, 23, 2, 103, 817 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 141 x 23 x 2 x 103 x 817 = 65496406320
Therefore, the lowest common multiple of 423,460,240,824,817 is 65496406320.
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.
423 x 460 x 240 x 824 x 817 = 31438275033600
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.
423 : 1, 3, 9, 47, 141, 423
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
824 : 1, 2, 4, 8, 103, 206, 412, 824
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,460,240,824,817, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
460:2x 2x 5x 23
240:2x 2x 2x 2x 3x 5
824:2x 2x 2x 103
817:19x 43
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 5 = 480
Therefore, the value for common factors is 480.
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 = 31438275033600/(1x480)
LCM = 31438275033600/480
LCM = 65496406320
Thus, we can understand that the LCM of 423,460,240,824,817 is 65496406320.
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FAQs on LCM of 423, 460, 240, 824, 817
1. What is the LCM of 423, 460, 240, 824, 817?
Answer: LCM of 423, 460, 240, 824, 817 is 65496406320.
2. How to calculate the LCM of 423, 460, 240, 824, 817?
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 423, 460, 240, 824, 817.
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}.