Find the LCM of 472, 868, 767, 581 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 472, 868, 767, 581. So, keep reading to learn more.
Given numbers are 472,868,767,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,868,767,581 is 110515496.
Find LCM of 472,868,767,581 with Prime Factorization
2 | 472, 868, 767, 581 |
2 | 236, 434, 767, 581 |
7 | 118, 217, 767, 581 |
59 | 118, 31, 767, 83 |
2, 31, 13, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 2 x 31 x 13 x 83 = 110515496
Therefore, the lowest common multiple of 472,868,767,581 is 110515496.
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.
472 x 868 x 767 x 581 = 182571599392
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
767 : 1, 13, 59, 767
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,868,767,581, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
868:2x 2x 7x 31
767:13x 59
581:7x 83
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 7x 59 = 1652
Therefore, the value for common factors is 1652.
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 = 182571599392/(1x1652)
LCM = 182571599392/1652
LCM = 110515496
Thus, we can understand that the LCM of 472,868,767,581 is 110515496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 472, 868, 767, 581?
Answer: LCM of 472, 868, 767, 581 is 110515496.
2. How to calculate the LCM of 472, 868, 767, 581?
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 472, 868, 767, 581.
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}.