LCM of 267, 689, 712, 713, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 689, 712, 713, 477 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 267, 689, 712, 713, 477. So, keep reading to learn more.
Given numbers are 267,689,712,713,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,689,712,713,477 is 3147974856.
Find LCM of 267,689,712,713,477 with Prime Factorization
| 3 | 267, 689, 712, 713, 477 |
| 53 | 89, 689, 712, 713, 159 |
| 89 | 89, 13, 712, 713, 3 |
| 1, 13, 8, 713, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 89 x 1 x 13 x 8 x 713 x 3 = 3147974856
Therefore, the lowest common multiple of 267,689,712,713,477 is 3147974856.
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.
267 x 689 x 712 x 713 x 477 = 44546992187256
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.
267 : 1, 3, 89, 267
689 : 1, 13, 53, 689
712 : 1, 2, 4, 8, 89, 178, 356, 712
713 : 1, 23, 31, 713
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,689,712,713,477, is 1.
Now, the common factors can be found like this.
267:3x 89
689:13x 53
712:2x 2x 2x 89
713:23x 31
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 53x 89 = 14151
Therefore, the value for common factors is 14151.
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 = 44546992187256/(1x14151)
LCM = 44546992187256/14151
LCM = 3147974856
Thus, we can understand that the LCM of 267,689,712,713,477 is 3147974856.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 689, 712, 713, 477
1. What is the LCM of 267, 689, 712, 713, 477?
Answer: LCM of 267, 689, 712, 713, 477 is 3147974856.
2. How to calculate the LCM of 267, 689, 712, 713, 477?
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 267, 689, 712, 713, 477.
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}.