Find the LCM of 802, 450, 475, 926, 628 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 802, 450, 475, 926, 628. So, keep reading to learn more.
Given numbers are 802,450,475,926,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,450,475,926,628 is 498449456100.
Find LCM of 802,450,475,926,628 with Prime Factorization
2 | 802, 450, 475, 926, 628 |
5 | 401, 225, 475, 463, 314 |
5 | 401, 45, 95, 463, 314 |
401, 9, 19, 463, 314 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 401 x 9 x 19 x 463 x 314 = 498449456100
Therefore, the lowest common multiple of 802,450,475,926,628 is 498449456100.
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.
802 x 450 x 475 x 926 x 628 = 99689891220000
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.
802 : 1, 2, 401, 802
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
475 : 1, 5, 19, 25, 95, 475
926 : 1, 2, 463, 926
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,450,475,926,628, is 1.
Now, the common factors can be found like this.
802:2x 401
450:2x 3x 3x 5x 5
475:5x 5x 19
926:2x 463
628:2x 2x 157
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 99689891220000/(1x200)
LCM = 99689891220000/200
LCM = 498449456100
Thus, we can understand that the LCM of 802,450,475,926,628 is 498449456100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 450, 475, 926, 628?
Answer: LCM of 802, 450, 475, 926, 628 is 498449456100.
2. How to calculate the LCM of 802, 450, 475, 926, 628?
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 802, 450, 475, 926, 628.
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}.