LCM of 288, 340, 652, 140, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 340, 652, 140, 917 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 288, 340, 652, 140, 917. So, keep reading to learn more.
Given numbers are 288,340,652,140,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,340,652,140,917 is 3659050080.
Find LCM of 288,340,652,140,917 with Prime Factorization
| 2 | 288, 340, 652, 140, 917 |
| 2 | 144, 170, 326, 70, 917 |
| 5 | 72, 85, 163, 35, 917 |
| 7 | 72, 17, 163, 7, 917 |
| 72, 17, 163, 1, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 72 x 17 x 163 x 1 x 131 = 3659050080
Therefore, the lowest common multiple of 288,340,652,140,917 is 3659050080.
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.
288 x 340 x 652 x 140 x 917 = 8196272179200
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
652 : 1, 2, 4, 163, 326, 652
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,340,652,140,917, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
340:2x 2x 5x 17
652:2x 2x 163
140:2x 2x 5x 7
917:7x 131
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 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 8196272179200/(1x2240)
LCM = 8196272179200/2240
LCM = 3659050080
Thus, we can understand that the LCM of 288,340,652,140,917 is 3659050080.
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FAQs on LCM of 288, 340, 652, 140, 917
1. What is the LCM of 288, 340, 652, 140, 917?
Answer: LCM of 288, 340, 652, 140, 917 is 3659050080.
2. How to calculate the LCM of 288, 340, 652, 140, 917?
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 288, 340, 652, 140, 917.
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}.