Find the LCM of 724, 403, 299, 575 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 724, 403, 299, 575. So, keep reading to learn more.
Given numbers are 724,403,299,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,403,299,575 is 167768900.
Find LCM of 724,403,299,575 with Prime Factorization
13 | 724, 403, 299, 575 |
23 | 724, 31, 23, 575 |
724, 31, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 724 x 31 x 1 x 25 = 167768900
Therefore, the lowest common multiple of 724,403,299,575 is 167768900.
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.
724 x 403 x 299 x 575 = 50162901100
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.
724 : 1, 2, 4, 181, 362, 724
403 : 1, 13, 31, 403
299 : 1, 13, 23, 299
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,403,299,575, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
403:13x 31
299:13x 23
575:5x 5x 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 23 = 299
Therefore, the value for common factors is 299.
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 = 50162901100/(1x299)
LCM = 50162901100/299
LCM = 167768900
Thus, we can understand that the LCM of 724,403,299,575 is 167768900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 403, 299, 575?
Answer: LCM of 724, 403, 299, 575 is 167768900.
2. How to calculate the LCM of 724, 403, 299, 575?
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 724, 403, 299, 575.
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}.