LCM of 652, 288, 472, 384, 208
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 288, 472, 384, 208 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, 288, 472, 384, 208. So, keep reading to learn more.
Given numbers are 652,288,472,384,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,288,472,384,208 is 144024192.
Find LCM of 652,288,472,384,208 with Prime Factorization
| 2 | 652, 288, 472, 384, 208 |
| 2 | 326, 144, 236, 192, 104 |
| 2 | 163, 72, 118, 96, 52 |
| 2 | 163, 36, 59, 48, 26 |
| 2 | 163, 18, 59, 24, 13 |
| 3 | 163, 9, 59, 12, 13 |
| 163, 3, 59, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 163 x 3 x 59 x 4 x 13 = 144024192
Therefore, the lowest common multiple of 652,288,472,384,208 is 144024192.
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 288 x 472 x 384 x 208 = 7079077085184
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
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
472 : 1, 2, 4, 8, 59, 118, 236, 472
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,288,472,384,208, is 4.
Now, the common factors can be found like this.
652:2x 2x 163
288:2x 2x 2x 2x 2x 3x 3
472:2x 2x 2x 59
384:2x 2x 2x 2x 2x 2x 2x 3
208:2x 2x 2x 2x 13
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 2x 2x 2x 2x 2x 2x 3 = 12288
Therefore, the value for common factors is 12288.
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 = 7079077085184/(4x12288)
LCM = 7079077085184/49152
LCM = 144024192
Thus, we can understand that the LCM of 652,288,472,384,208 is 144024192.
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FAQs on LCM of 652, 288, 472, 384, 208
1. What is the LCM of 652, 288, 472, 384, 208?
Answer: LCM of 652, 288, 472, 384, 208 is 144024192.
2. How to calculate the LCM of 652, 288, 472, 384, 208?
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, 288, 472, 384, 208.
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}.