Find the LCM of 802, 528, 130, 958, 476 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, 528, 130, 958, 476. So, keep reading to learn more.
Given numbers are 802,528,130,958,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,528,130,958,476 is 784466002320.
Find LCM of 802,528,130,958,476 with Prime Factorization
2 | 802, 528, 130, 958, 476 |
2 | 401, 264, 65, 479, 238 |
401, 132, 65, 479, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 401 x 132 x 65 x 479 x 119 = 784466002320
Therefore, the lowest common multiple of 802,528,130,958,476 is 784466002320.
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 528 x 130 x 958 x 476 = 25102912074240
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
130 : 1, 2, 5, 10, 13, 26, 65, 130
958 : 1, 2, 479, 958
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,528,130,958,476, is 2.
Now, the common factors can be found like this.
802:2x 401
528:2x 2x 2x 2x 3x 11
130:2x 5x 13
958:2x 479
476:2x 2x 7x 17
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 2 = 16
Therefore, the value for common factors is 16.
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 = 25102912074240/(2x16)
LCM = 25102912074240/32
LCM = 784466002320
Thus, we can understand that the LCM of 802,528,130,958,476 is 784466002320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 528, 130, 958, 476?
Answer: LCM of 802, 528, 130, 958, 476 is 784466002320.
2. How to calculate the LCM of 802, 528, 130, 958, 476?
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, 528, 130, 958, 476.
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}.