LCM of 506, 715, 364, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 715, 364, 607 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 506, 715, 364, 607. So, keep reading to learn more.
Given numbers are 506,715,364,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,715,364,607 is 279499220.
Find LCM of 506,715,364,607 with Prime Factorization
| 2 | 506, 715, 364, 607 |
| 11 | 253, 715, 182, 607 |
| 13 | 23, 65, 182, 607 |
| 23, 5, 14, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 23 x 5 x 14 x 607 = 279499220
Therefore, the lowest common multiple of 506,715,364,607 is 279499220.
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.
506 x 715 x 364 x 607 = 79936776920
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
715 : 1, 5, 11, 13, 55, 65, 143, 715
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,715,364,607, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
715:5x 11x 13
364:2x 2x 7x 13
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 13 = 286
Therefore, the value for common factors is 286.
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 = 79936776920/(1x286)
LCM = 79936776920/286
LCM = 279499220
Thus, we can understand that the LCM of 506,715,364,607 is 279499220.
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FAQs on LCM of 506, 715, 364, 607
1. What is the LCM of 506, 715, 364, 607?
Answer: LCM of 506, 715, 364, 607 is 279499220.
2. How to calculate the LCM of 506, 715, 364, 607?
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 506, 715, 364, 607.
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}.