Find the LCM of 706, 572, 450, 368, 253 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 706, 572, 450, 368, 253. So, keep reading to learn more.
Given numbers are 706,572,450,368,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,572,450,368,253 is 4179661200.
Find LCM of 706,572,450,368,253 with Prime Factorization
2 | 706, 572, 450, 368, 253 |
2 | 353, 286, 225, 184, 253 |
11 | 353, 143, 225, 92, 253 |
23 | 353, 13, 225, 92, 23 |
353, 13, 225, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 353 x 13 x 225 x 4 x 1 = 4179661200
Therefore, the lowest common multiple of 706,572,450,368,253 is 4179661200.
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.
706 x 572 x 450 x 368 x 253 = 16919268537600
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.
706 : 1, 2, 353, 706
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,572,450,368,253, is 1.
Now, the common factors can be found like this.
706:2x 353
572:2x 2x 11x 13
450:2x 3x 3x 5x 5
368:2x 2x 2x 2x 23
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 11x 23 = 4048
Therefore, the value for common factors is 4048.
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 = 16919268537600/(1x4048)
LCM = 16919268537600/4048
LCM = 4179661200
Thus, we can understand that the LCM of 706,572,450,368,253 is 4179661200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 572, 450, 368, 253?
Answer: LCM of 706, 572, 450, 368, 253 is 4179661200.
2. How to calculate the LCM of 706, 572, 450, 368, 253?
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 706, 572, 450, 368, 253.
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}.