Find the LCM of 552, 175, 872, 616, 828 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 552, 175, 872, 616, 828. So, keep reading to learn more.
Given numbers are 552,175,872,616,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,175,872,616,828 is 347470200.
Find LCM of 552,175,872,616,828 with Prime Factorization
2 | 552, 175, 872, 616, 828 |
2 | 276, 175, 436, 308, 414 |
2 | 138, 175, 218, 154, 207 |
3 | 69, 175, 109, 77, 207 |
7 | 23, 175, 109, 77, 69 |
23 | 23, 25, 109, 11, 69 |
1, 25, 109, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 23 x 1 x 25 x 109 x 11 x 3 = 347470200
Therefore, the lowest common multiple of 552,175,872,616,828 is 347470200.
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.
552 x 175 x 872 x 616 x 828 = 42963995289600
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
175 : 1, 5, 7, 25, 35, 175
872 : 1, 2, 4, 8, 109, 218, 436, 872
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,175,872,616,828, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
175:5x 5x 7
872:2x 2x 2x 109
616:2x 2x 2x 7x 11
828:2x 2x 3x 3x 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 2x 2x 2x 2x 3x 7x 23 = 123648
Therefore, the value for common factors is 123648.
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 = 42963995289600/(1x123648)
LCM = 42963995289600/123648
LCM = 347470200
Thus, we can understand that the LCM of 552,175,872,616,828 is 347470200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 552, 175, 872, 616, 828?
Answer: LCM of 552, 175, 872, 616, 828 is 347470200.
2. How to calculate the LCM of 552, 175, 872, 616, 828?
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 552, 175, 872, 616, 828.
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}.