Find the LCM of 852, 782, 314, 972 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 852, 782, 314, 972. So, keep reading to learn more.
Given numbers are 852,782,314,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,782,314,972 is 4236439644.
Find LCM of 852,782,314,972 with Prime Factorization
2 | 852, 782, 314, 972 |
2 | 426, 391, 157, 486 |
3 | 213, 391, 157, 243 |
71, 391, 157, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 391 x 157 x 81 = 4236439644
Therefore, the lowest common multiple of 852,782,314,972 is 4236439644.
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.
852 x 782 x 314 x 972 = 203349102912
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
782 : 1, 2, 17, 23, 34, 46, 391, 782
314 : 1, 2, 157, 314
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,782,314,972, is 2.
Now, the common factors can be found like this.
852:2x 2x 3x 71
782:2x 17x 23
314:2x 157
972:2x 2x 3x 3x 3x 3x 3
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 3 = 24
Therefore, the value for common factors is 24.
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 = 203349102912/(2x24)
LCM = 203349102912/48
LCM = 4236439644
Thus, we can understand that the LCM of 852,782,314,972 is 4236439644.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 782, 314, 972?
Answer: LCM of 852, 782, 314, 972 is 4236439644.
2. How to calculate the LCM of 852, 782, 314, 972?
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 852, 782, 314, 972.
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}.