LCM of 528, 767, 378, 964, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 528, 767, 378, 964, 984 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 528, 767, 378, 964, 984. So, keep reading to learn more.
Given numbers are 528,767,378,964,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,767,378,964,984 is 252098774928.
Find LCM of 528,767,378,964,984 with Prime Factorization
| 2 | 528, 767, 378, 964, 984 |
| 2 | 264, 767, 189, 482, 492 |
| 2 | 132, 767, 189, 241, 246 |
| 3 | 66, 767, 189, 241, 123 |
| 22, 767, 63, 241, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 22 x 767 x 63 x 241 x 41 = 252098774928
Therefore, the lowest common multiple of 528,767,378,964,984 is 252098774928.
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.
528 x 767 x 378 x 964 x 984 = 145208894358528
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
767 : 1, 13, 59, 767
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
964 : 1, 2, 4, 241, 482, 964
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,767,378,964,984, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
767:13x 59
378:2x 3x 3x 3x 7
964:2x 2x 241
984:2x 2x 2x 3x 41
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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 145208894358528/(1x576)
LCM = 145208894358528/576
LCM = 252098774928
Thus, we can understand that the LCM of 528,767,378,964,984 is 252098774928.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 528, 767, 378, 964, 984
1. What is the LCM of 528, 767, 378, 964, 984?
Answer: LCM of 528, 767, 378, 964, 984 is 252098774928.
2. How to calculate the LCM of 528, 767, 378, 964, 984?
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 528, 767, 378, 964, 984.
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}.