LCM of 652, 770, 627, 803, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 770, 627, 803, 448 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 652, 770, 627, 803, 448. So, keep reading to learn more.
Given numbers are 652,770,627,803,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,770,627,803,448 is 16711907520.
Find LCM of 652,770,627,803,448 with Prime Factorization
| 2 | 652, 770, 627, 803, 448 |
| 2 | 326, 385, 627, 803, 224 |
| 7 | 163, 385, 627, 803, 112 |
| 11 | 163, 55, 627, 803, 16 |
| 163, 5, 57, 73, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 163 x 5 x 57 x 73 x 16 = 16711907520
Therefore, the lowest common multiple of 652,770,627,803,448 is 16711907520.
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.
652 x 770 x 627 x 803 x 448 = 113239885355520
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.
652 : 1, 2, 4, 163, 326, 652
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
627 : 1, 3, 11, 19, 33, 57, 209, 627
803 : 1, 11, 73, 803
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,770,627,803,448, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
770:2x 5x 7x 11
627:3x 11x 19
803:11x 73
448:2x 2x 2x 2x 2x 2x 7
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 7x 11x 11 = 6776
Therefore, the value for common factors is 6776.
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 = 113239885355520/(1x6776)
LCM = 113239885355520/6776
LCM = 16711907520
Thus, we can understand that the LCM of 652,770,627,803,448 is 16711907520.
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FAQs on LCM of 652, 770, 627, 803, 448
1. What is the LCM of 652, 770, 627, 803, 448?
Answer: LCM of 652, 770, 627, 803, 448 is 16711907520.
2. How to calculate the LCM of 652, 770, 627, 803, 448?
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 652, 770, 627, 803, 448.
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}.