LCM of 493, 988, 817, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 988, 817, 129 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, 988, 817, 129. So, keep reading to learn more.
Given numbers are 493,988,817,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,988,817,129 is 62833836.
Find LCM of 493,988,817,129 with Prime Factorization
| 19 | 493, 988, 817, 129 |
| 43 | 493, 52, 43, 129 |
| 493, 52, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
19 x 43 x 493 x 52 x 1 x 3 = 62833836
Therefore, the lowest common multiple of 493,988,817,129 is 62833836.
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 988 x 817 x 129 = 51335244012
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
817 : 1, 19, 43, 817
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,988,817,129, is 1.
Now, the common factors can be found like this.
493:17x 29
988:2x 2x 13x 19
817:19x 43
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 43 = 817
Therefore, the value for common factors is 817.
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 = 51335244012/(1x817)
LCM = 51335244012/817
LCM = 62833836
Thus, we can understand that the LCM of 493,988,817,129 is 62833836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 493, 988, 817, 129
1. What is the LCM of 493, 988, 817, 129?
Answer: LCM of 493, 988, 817, 129 is 62833836.
2. How to calculate the LCM of 493, 988, 817, 129?
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, 988, 817, 129.
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}.