LCM of 706, 678, 781, 416, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 678, 781, 416, 730 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 706, 678, 781, 416, 730. So, keep reading to learn more.
Given numbers are 706,678,781,416,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,678,781,416,730 is 14190955315680.
Find LCM of 706,678,781,416,730 with Prime Factorization
| 2 | 706, 678, 781, 416, 730 |
| 353, 339, 781, 208, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 353 x 339 x 781 x 208 x 365 = 14190955315680
Therefore, the lowest common multiple of 706,678,781,416,730 is 14190955315680.
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.
706 x 678 x 781 x 416 x 730 = 113527642525440
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.
706 : 1, 2, 353, 706
678 : 1, 2, 3, 6, 113, 226, 339, 678
781 : 1, 11, 71, 781
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,678,781,416,730, is 1.
Now, the common factors can be found like this.
706:2x 353
678:2x 3x 113
781:11x 71
416:2x 2x 2x 2x 2x 13
730:2x 5x 73
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 2 = 8
Therefore, the value for common factors is 8.
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 = 113527642525440/(1x8)
LCM = 113527642525440/8
LCM = 14190955315680
Thus, we can understand that the LCM of 706,678,781,416,730 is 14190955315680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 678, 781, 416, 730
1. What is the LCM of 706, 678, 781, 416, 730?
Answer: LCM of 706, 678, 781, 416, 730 is 14190955315680.
2. How to calculate the LCM of 706, 678, 781, 416, 730?
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 706, 678, 781, 416, 730.
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}.