LCM of 493, 320, 862, 203, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 320, 862, 203, 765 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 493, 320, 862, 203, 765. So, keep reading to learn more.
Given numbers are 493,320,862,203,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,320,862,203,765 is 4283657280.
Find LCM of 493,320,862,203,765 with Prime Factorization
| 2 | 493, 320, 862, 203, 765 |
| 5 | 493, 160, 431, 203, 765 |
| 17 | 493, 32, 431, 203, 153 |
| 29 | 29, 32, 431, 203, 9 |
| 1, 32, 431, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 29 x 1 x 32 x 431 x 7 x 9 = 4283657280
Therefore, the lowest common multiple of 493,320,862,203,765 is 4283657280.
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.
493 x 320 x 862 x 203 x 765 = 21118430390400
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.
493 : 1, 17, 29, 493
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
862 : 1, 2, 431, 862
203 : 1, 7, 29, 203
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,320,862,203,765, is 1.
Now, the common factors can be found like this.
493:17x 29
320:2x 2x 2x 2x 2x 2x 5
862:2x 431
203:7x 29
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 29 = 4930
Therefore, the value for common factors is 4930.
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 = 21118430390400/(1x4930)
LCM = 21118430390400/4930
LCM = 4283657280
Thus, we can understand that the LCM of 493,320,862,203,765 is 4283657280.
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FAQs on LCM of 493, 320, 862, 203, 765
1. What is the LCM of 493, 320, 862, 203, 765?
Answer: LCM of 493, 320, 862, 203, 765 is 4283657280.
2. How to calculate the LCM of 493, 320, 862, 203, 765?
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 493, 320, 862, 203, 765.
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}.