LCM of 781, 705, 493, 790, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 705, 493, 790, 920 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, 705, 493, 790, 920. So, keep reading to learn more.
Given numbers are 781,705,493,790,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,705,493,790,920 is 3945771980040.
Find LCM of 781,705,493,790,920 with Prime Factorization
| 2 | 781, 705, 493, 790, 920 |
| 5 | 781, 705, 493, 395, 460 |
| 781, 141, 493, 79, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 781 x 141 x 493 x 79 x 92 = 3945771980040
Therefore, the lowest common multiple of 781,705,493,790,920 is 3945771980040.
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 705 x 493 x 790 x 920 = 197288599002000
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
705 : 1, 3, 5, 15, 47, 141, 235, 705
493 : 1, 17, 29, 493
790 : 1, 2, 5, 10, 79, 158, 395, 790
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,705,493,790,920, is 1.
Now, the common factors can be found like this.
781:11x 71
705:3x 5x 47
493:17x 29
790:2x 5x 79
920:2x 2x 2x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 197288599002000/(1x50)
LCM = 197288599002000/50
LCM = 3945771980040
Thus, we can understand that the LCM of 781,705,493,790,920 is 3945771980040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 705, 493, 790, 920
1. What is the LCM of 781, 705, 493, 790, 920?
Answer: LCM of 781, 705, 493, 790, 920 is 3945771980040.
2. How to calculate the LCM of 781, 705, 493, 790, 920?
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, 705, 493, 790, 920.
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}.