Find the LCM of 144, 598, 671, 905, 473 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 144, 598, 671, 905, 473. So, keep reading to learn more.
Given numbers are 144,598,671,905,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,598,671,905,473 is 1124276765040.
Find LCM of 144,598,671,905,473 with Prime Factorization
2 | 144, 598, 671, 905, 473 |
11 | 72, 299, 671, 905, 473 |
72, 299, 61, 905, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 72 x 299 x 61 x 905 x 43 = 1124276765040
Therefore, the lowest common multiple of 144,598,671,905,473 is 1124276765040.
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.
144 x 598 x 671 x 905 x 473 = 24734088830880
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
598 : 1, 2, 13, 23, 26, 46, 299, 598
671 : 1, 11, 61, 671
905 : 1, 5, 181, 905
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,598,671,905,473, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
598:2x 13x 23
671:11x 61
905:5x 181
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 24734088830880/(1x22)
LCM = 24734088830880/22
LCM = 1124276765040
Thus, we can understand that the LCM of 144,598,671,905,473 is 1124276765040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 598, 671, 905, 473?
Answer: LCM of 144, 598, 671, 905, 473 is 1124276765040.
2. How to calculate the LCM of 144, 598, 671, 905, 473?
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 144, 598, 671, 905, 473.
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}.