LCM of 426, 344, 817, 430
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 344, 817, 430 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, 344, 817, 430. So, keep reading to learn more.
Given numbers are 426,344,817,430
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,344,817,430 is 6960840.
Find LCM of 426,344,817,430 with Prime Factorization
| 2 | 426, 344, 817, 430 |
| 43 | 213, 172, 817, 215 |
| 213, 4, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 213 x 4 x 19 x 5 = 6960840
Therefore, the lowest common multiple of 426,344,817,430 is 6960840.
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 344 x 817 x 430 = 51482372640
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
344 : 1, 2, 4, 8, 43, 86, 172, 344
817 : 1, 19, 43, 817
430 : 1, 2, 5, 10, 43, 86, 215, 430
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,344,817,430, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
344:2x 2x 2x 43
817:19x 43
430:2x 5x 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 43x 43 = 7396
Therefore, the value for common factors is 7396.
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 = 51482372640/(1x7396)
LCM = 51482372640/7396
LCM = 6960840
Thus, we can understand that the LCM of 426,344,817,430 is 6960840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 344, 817, 430
1. What is the LCM of 426, 344, 817, 430?
Answer: LCM of 426, 344, 817, 430 is 6960840.
2. How to calculate the LCM of 426, 344, 817, 430?
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, 344, 817, 430.
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}.