LCM of 767, 149, 377, 362, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 149, 377, 362, 897 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 767, 149, 377, 362, 897. So, keep reading to learn more.
Given numbers are 767,149,377,362,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,149,377,362,897 is 82782262446.
Find LCM of 767,149,377,362,897 with Prime Factorization
| 13 | 767, 149, 377, 362, 897 |
| 59, 149, 29, 362, 69 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 149 x 29 x 362 x 69 = 82782262446
Therefore, the lowest common multiple of 767,149,377,362,897 is 82782262446.
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.
767 x 149 x 377 x 362 x 897 = 13990202353374
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.
767 : 1, 13, 59, 767
149 : 1, 149
377 : 1, 13, 29, 377
362 : 1, 2, 181, 362
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,149,377,362,897, is 1.
Now, the common factors can be found like this.
767:13x 59
149:149
377:13x 29
362:2x 181
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 13990202353374/(1x169)
LCM = 13990202353374/169
LCM = 82782262446
Thus, we can understand that the LCM of 767,149,377,362,897 is 82782262446.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 767, 149, 377, 362, 897
1. What is the LCM of 767, 149, 377, 362, 897?
Answer: LCM of 767, 149, 377, 362, 897 is 82782262446.
2. How to calculate the LCM of 767, 149, 377, 362, 897?
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 767, 149, 377, 362, 897.
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}.