LCM of 426, 781, 693, 558, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 781, 693, 558, 436 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, 781, 693, 558, 436. So, keep reading to learn more.
Given numbers are 426,781,693,558,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,781,693,558,436 is 665027748.
Find LCM of 426,781,693,558,436 with Prime Factorization
| 2 | 426, 781, 693, 558, 436 |
| 3 | 213, 781, 693, 279, 218 |
| 3 | 71, 781, 231, 93, 218 |
| 11 | 71, 781, 77, 31, 218 |
| 71 | 71, 71, 7, 31, 218 |
| 1, 1, 7, 31, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 71 x 1 x 1 x 7 x 31 x 218 = 665027748
Therefore, the lowest common multiple of 426,781,693,558,436 is 665027748.
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 781 x 693 x 558 x 436 = 56093760488304
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
781 : 1, 11, 71, 781
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,781,693,558,436, is 1.
Now, the common factors can be found like this.
426:2x 3x 71
781:11x 71
693:3x 3x 7x 11
558:2x 3x 3x 31
436:2x 2x 109
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 3x 3x 3x 11x 71 = 84348
Therefore, the value for common factors is 84348.
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 = 56093760488304/(1x84348)
LCM = 56093760488304/84348
LCM = 665027748
Thus, we can understand that the LCM of 426,781,693,558,436 is 665027748.
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FAQs on LCM of 426, 781, 693, 558, 436
1. What is the LCM of 426, 781, 693, 558, 436?
Answer: LCM of 426, 781, 693, 558, 436 is 665027748.
2. How to calculate the LCM of 426, 781, 693, 558, 436?
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, 781, 693, 558, 436.
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}.