LCM of 781, 417, 312, 429, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 417, 312, 429, 339 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 781, 417, 312, 429, 339. So, keep reading to learn more.
Given numbers are 781,417,312,429,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,417,312,429,339 is 3827356104.
Find LCM of 781,417,312,429,339 with Prime Factorization
| 3 | 781, 417, 312, 429, 339 |
| 11 | 781, 139, 104, 143, 113 |
| 13 | 71, 139, 104, 13, 113 |
| 71, 139, 8, 1, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 71 x 139 x 8 x 1 x 113 = 3827356104
Therefore, the lowest common multiple of 781,417,312,429,339 is 3827356104.
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.
781 x 417 x 312 x 429 x 339 = 14777421917544
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.
781 : 1, 11, 71, 781
417 : 1, 3, 139, 417
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
429 : 1, 3, 11, 13, 33, 39, 143, 429
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,417,312,429,339, is 1.
Now, the common factors can be found like this.
781:11x 71
417:3x 139
312:2x 2x 2x 3x 13
429:3x 11x 13
339:3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11x 13 = 3861
Therefore, the value for common factors is 3861.
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 = 14777421917544/(1x3861)
LCM = 14777421917544/3861
LCM = 3827356104
Thus, we can understand that the LCM of 781,417,312,429,339 is 3827356104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 417, 312, 429, 339
1. What is the LCM of 781, 417, 312, 429, 339?
Answer: LCM of 781, 417, 312, 429, 339 is 3827356104.
2. How to calculate the LCM of 781, 417, 312, 429, 339?
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 781, 417, 312, 429, 339.
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}.