Find the LCM of 974, 767, 715, 747, 173 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 974, 767, 715, 747, 173. So, keep reading to learn more.
Given numbers are 974,767,715,747,173
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,767,715,747,173 is 5309867881890.
Find LCM of 974,767,715,747,173 with Prime Factorization
13 | 974, 767, 715, 747, 173 |
974, 59, 55, 747, 173 |
Multiply the prime numbers at the bottom and the left side.
13 x 974 x 59 x 55 x 747 x 173 = 5309867881890
Therefore, the lowest common multiple of 974,767,715,747,173 is 5309867881890.
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.
974 x 767 x 715 x 747 x 173 = 69028282464570
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.
974 : 1, 2, 487, 974
767 : 1, 13, 59, 767
715 : 1, 5, 11, 13, 55, 65, 143, 715
747 : 1, 3, 9, 83, 249, 747
173 : 1, 173
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,767,715,747,173, is 1.
Now, the common factors can be found like this.
974:2x 487
767:13x 59
715:5x 11x 13
747:3x 3x 83
173:173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 69028282464570/(1x13)
LCM = 69028282464570/13
LCM = 5309867881890
Thus, we can understand that the LCM of 974,767,715,747,173 is 5309867881890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 767, 715, 747, 173?
Answer: LCM of 974, 767, 715, 747, 173 is 5309867881890.
2. How to calculate the LCM of 974, 767, 715, 747, 173?
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 974, 767, 715, 747, 173.
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}.