LCM of 652, 756, 267, 506, 261
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 756, 267, 506, 261 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, 756, 267, 506, 261. So, keep reading to learn more.
Given numbers are 652,756,267,506,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,756,267,506,261 is 80467021404.
Find LCM of 652,756,267,506,261 with Prime Factorization
| 2 | 652, 756, 267, 506, 261 |
| 2 | 326, 378, 267, 253, 261 |
| 3 | 163, 189, 267, 253, 261 |
| 3 | 163, 63, 89, 253, 87 |
| 163, 21, 89, 253, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 163 x 21 x 89 x 253 x 29 = 80467021404
Therefore, the lowest common multiple of 652,756,267,506,261 is 80467021404.
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 756 x 267 x 506 x 261 = 17380876623264
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
267 : 1, 3, 89, 267
506 : 1, 2, 11, 22, 23, 46, 253, 506
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,756,267,506,261, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
756:2x 2x 3x 3x 3x 7
267:3x 89
506:2x 11x 23
261:3x 3x 29
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 17380876623264/(1x216)
LCM = 17380876623264/216
LCM = 80467021404
Thus, we can understand that the LCM of 652,756,267,506,261 is 80467021404.
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FAQs on LCM of 652, 756, 267, 506, 261
1. What is the LCM of 652, 756, 267, 506, 261?
Answer: LCM of 652, 756, 267, 506, 261 is 80467021404.
2. How to calculate the LCM of 652, 756, 267, 506, 261?
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, 756, 267, 506, 261.
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}.