Find the LCM of 587, 974, 607, 726, 692 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 587, 974, 607, 726, 692. So, keep reading to learn more.
Given numbers are 587,974,607,726,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,974,607,726,692 is 43588153639668.
Find LCM of 587,974,607,726,692 with Prime Factorization
2 | 587, 974, 607, 726, 692 |
587, 487, 607, 363, 346 |
Multiply the prime numbers at the bottom and the left side.
2 x 587 x 487 x 607 x 363 x 346 = 43588153639668
Therefore, the lowest common multiple of 587,974,607,726,692 is 43588153639668.
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.
587 x 974 x 607 x 726 x 692 = 174352614558672
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.
587 : 1, 587
974 : 1, 2, 487, 974
607 : 1, 607
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,974,607,726,692, is 1.
Now, the common factors can be found like this.
587:587
974:2x 487
607:607
726:2x 3x 11x 11
692:2x 2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 174352614558672/(1x4)
LCM = 174352614558672/4
LCM = 43588153639668
Thus, we can understand that the LCM of 587,974,607,726,692 is 43588153639668.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 974, 607, 726, 692?
Answer: LCM of 587, 974, 607, 726, 692 is 43588153639668.
2. How to calculate the LCM of 587, 974, 607, 726, 692?
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 587, 974, 607, 726, 692.
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}.