LCM of 112, 175, 564, 872, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 175, 564, 872, 432 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 112, 175, 564, 872, 432. So, keep reading to learn more.
Given numbers are 112,175,564,872,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,175,564,872,432 is 387298800.
Find LCM of 112,175,564,872,432 with Prime Factorization
| 2 | 112, 175, 564, 872, 432 |
| 2 | 56, 175, 282, 436, 216 |
| 2 | 28, 175, 141, 218, 108 |
| 2 | 14, 175, 141, 109, 54 |
| 3 | 7, 175, 141, 109, 27 |
| 7 | 7, 175, 47, 109, 9 |
| 1, 25, 47, 109, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 1 x 25 x 47 x 109 x 9 = 387298800
Therefore, the lowest common multiple of 112,175,564,872,432 is 387298800.
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.
112 x 175 x 564 x 872 x 432 = 4164236697600
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
175 : 1, 5, 7, 25, 35, 175
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
872 : 1, 2, 4, 8, 109, 218, 436, 872
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,175,564,872,432, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
175:5x 5x 7
564:2x 2x 3x 47
872:2x 2x 2x 109
432:2x 2x 2x 2x 3x 3x 3
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 2x 3x 7 = 10752
Therefore, the value for common factors is 10752.
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 = 4164236697600/(1x10752)
LCM = 4164236697600/10752
LCM = 387298800
Thus, we can understand that the LCM of 112,175,564,872,432 is 387298800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 112, 175, 564, 872, 432
1. What is the LCM of 112, 175, 564, 872, 432?
Answer: LCM of 112, 175, 564, 872, 432 is 387298800.
2. How to calculate the LCM of 112, 175, 564, 872, 432?
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 112, 175, 564, 872, 432.
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}.