LCM of 556, 267, 510, 510, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 267, 510, 510, 528 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 556, 267, 510, 510, 528. So, keep reading to learn more.
Given numbers are 556,267,510,510,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,267,510,510,528 is 555210480.
Find LCM of 556,267,510,510,528 with Prime Factorization
| 2 | 556, 267, 510, 510, 528 |
| 2 | 278, 267, 255, 255, 264 |
| 3 | 139, 267, 255, 255, 132 |
| 5 | 139, 89, 85, 85, 44 |
| 17 | 139, 89, 17, 17, 44 |
| 139, 89, 1, 1, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 139 x 89 x 1 x 1 x 44 = 555210480
Therefore, the lowest common multiple of 556,267,510,510,528 is 555210480.
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.
556 x 267 x 510 x 510 x 528 = 20387328825600
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.
556 : 1, 2, 4, 139, 278, 556
267 : 1, 3, 89, 267
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,267,510,510,528, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
267:3x 89
510:2x 3x 5x 17
510:2x 3x 5x 17
528:2x 2x 2x 2x 3x 11
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 3x 3x 3x 5x 17 = 36720
Therefore, the value for common factors is 36720.
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 = 20387328825600/(1x36720)
LCM = 20387328825600/36720
LCM = 555210480
Thus, we can understand that the LCM of 556,267,510,510,528 is 555210480.
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FAQs on LCM of 556, 267, 510, 510, 528
1. What is the LCM of 556, 267, 510, 510, 528?
Answer: LCM of 556, 267, 510, 510, 528 is 555210480.
2. How to calculate the LCM of 556, 267, 510, 510, 528?
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 556, 267, 510, 510, 528.
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}.