Find the LCM of 737, 754, 299, 913, 767 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 737, 754, 299, 913, 767. So, keep reading to learn more.
Given numbers are 737,754,299,913,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,754,299,913,767 is 62588821438.
Find LCM of 737,754,299,913,767 with Prime Factorization
11 | 737, 754, 299, 913, 767 |
13 | 67, 754, 299, 83, 767 |
67, 58, 23, 83, 59 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 67 x 58 x 23 x 83 x 59 = 62588821438
Therefore, the lowest common multiple of 737,754,299,913,767 is 62588821438.
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.
737 x 754 x 299 x 913 x 767 = 116352619053242
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.
737 : 1, 11, 67, 737
754 : 1, 2, 13, 26, 29, 58, 377, 754
299 : 1, 13, 23, 299
913 : 1, 11, 83, 913
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,754,299,913,767, is 1.
Now, the common factors can be found like this.
737:11x 67
754:2x 13x 29
299:13x 23
913:11x 83
767:13x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 13 = 1859
Therefore, the value for common factors is 1859.
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 = 116352619053242/(1x1859)
LCM = 116352619053242/1859
LCM = 62588821438
Thus, we can understand that the LCM of 737,754,299,913,767 is 62588821438.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 754, 299, 913, 767?
Answer: LCM of 737, 754, 299, 913, 767 is 62588821438.
2. How to calculate the LCM of 737, 754, 299, 913, 767?
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 737, 754, 299, 913, 767.
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}.