LCM of 556, 466, 444, 652, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 466, 444, 652, 627 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, 466, 444, 652, 627. So, keep reading to learn more.
Given numbers are 556,466,444,652,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,466,444,652,627 is 489877600476.
Find LCM of 556,466,444,652,627 with Prime Factorization
| 2 | 556, 466, 444, 652, 627 |
| 2 | 278, 233, 222, 326, 627 |
| 3 | 139, 233, 111, 163, 627 |
| 139, 233, 37, 163, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 233 x 37 x 163 x 209 = 489877600476
Therefore, the lowest common multiple of 556,466,444,652,627 is 489877600476.
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 466 x 444 x 652 x 627 = 47028249645696
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
466 : 1, 2, 233, 466
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
652 : 1, 2, 4, 163, 326, 652
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,466,444,652,627, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
466:2x 233
444:2x 2x 3x 37
652:2x 2x 163
627:3x 11x 19
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 3 = 96
Therefore, the value for common factors is 96.
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 = 47028249645696/(1x96)
LCM = 47028249645696/96
LCM = 489877600476
Thus, we can understand that the LCM of 556,466,444,652,627 is 489877600476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 466, 444, 652, 627
1. What is the LCM of 556, 466, 444, 652, 627?
Answer: LCM of 556, 466, 444, 652, 627 is 489877600476.
2. How to calculate the LCM of 556, 466, 444, 652, 627?
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, 466, 444, 652, 627.
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}.