LCM of 783, 638, 546, 926, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 638, 546, 926, 767 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 783, 638, 546, 926, 767. So, keep reading to learn more.
Given numbers are 783,638,546,926,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,638,546,926,767 is 42821200422.
Find LCM of 783,638,546,926,767 with Prime Factorization
| 2 | 783, 638, 546, 926, 767 |
| 3 | 783, 319, 273, 463, 767 |
| 13 | 261, 319, 91, 463, 767 |
| 29 | 261, 319, 7, 463, 59 |
| 9, 11, 7, 463, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 9 x 11 x 7 x 463 x 59 = 42821200422
Therefore, the lowest common multiple of 783,638,546,926,767 is 42821200422.
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.
783 x 638 x 546 x 926 x 767 = 193723110709128
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
638 : 1, 2, 11, 22, 29, 58, 319, 638
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
926 : 1, 2, 463, 926
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,638,546,926,767, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
638:2x 11x 29
546:2x 3x 7x 13
926:2x 463
767:13x 59
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 13x 29 = 4524
Therefore, the value for common factors is 4524.
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 = 193723110709128/(1x4524)
LCM = 193723110709128/4524
LCM = 42821200422
Thus, we can understand that the LCM of 783,638,546,926,767 is 42821200422.
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FAQs on LCM of 783, 638, 546, 926, 767
1. What is the LCM of 783, 638, 546, 926, 767?
Answer: LCM of 783, 638, 546, 926, 767 is 42821200422.
2. How to calculate the LCM of 783, 638, 546, 926, 767?
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 783, 638, 546, 926, 767.
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}.