LCM of 706, 767, 826, 541, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 767, 826, 541, 718 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, 767, 826, 541, 718. So, keep reading to learn more.
Given numbers are 706,767,826,541,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,767,826,541,718 is 736189838566.
Find LCM of 706,767,826,541,718 with Prime Factorization
| 2 | 706, 767, 826, 541, 718 |
| 59 | 353, 767, 413, 541, 359 |
| 353, 13, 7, 541, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 353 x 13 x 7 x 541 x 359 = 736189838566
Therefore, the lowest common multiple of 706,767,826,541,718 is 736189838566.
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 767 x 826 x 541 x 718 = 173740801901576
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
767 : 1, 13, 59, 767
826 : 1, 2, 7, 14, 59, 118, 413, 826
541 : 1, 541
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,767,826,541,718, is 1.
Now, the common factors can be found like this.
706:2x 353
767:13x 59
826:2x 7x 59
541:541
718:2x 359
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 59 = 236
Therefore, the value for common factors is 236.
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 = 173740801901576/(1x236)
LCM = 173740801901576/236
LCM = 736189838566
Thus, we can understand that the LCM of 706,767,826,541,718 is 736189838566.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 767, 826, 541, 718
1. What is the LCM of 706, 767, 826, 541, 718?
Answer: LCM of 706, 767, 826, 541, 718 is 736189838566.
2. How to calculate the LCM of 706, 767, 826, 541, 718?
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, 767, 826, 541, 718.
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}.