LCM of 645, 592, 174, 888
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 645, 592, 174, 888 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 645, 592, 174, 888. So, keep reading to learn more.
Given numbers are 645,592,174,888
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,592,174,888 is 11073360.
Find LCM of 645,592,174,888 with Prime Factorization
| 2 | 645, 592, 174, 888 |
| 2 | 645, 296, 87, 444 |
| 2 | 645, 148, 87, 222 |
| 3 | 645, 74, 87, 111 |
| 37 | 215, 74, 29, 37 |
| 215, 2, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 215 x 2 x 29 x 1 = 11073360
Therefore, the lowest common multiple of 645,592,174,888 is 11073360.
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.
645 x 592 x 174 x 888 = 58998862080
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
174 : 1, 2, 3, 6, 29, 58, 87, 174
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,592,174,888, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
592:2x 2x 2x 2x 37
174:2x 3x 29
888:2x 2x 2x 3x 37
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 3x 3x 37 = 5328
Therefore, the value for common factors is 5328.
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 = 58998862080/(1x5328)
LCM = 58998862080/5328
LCM = 11073360
Thus, we can understand that the LCM of 645,592,174,888 is 11073360.
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FAQs on LCM of 645, 592, 174, 888
1. What is the LCM of 645, 592, 174, 888?
Answer: LCM of 645, 592, 174, 888 is 11073360.
2. How to calculate the LCM of 645, 592, 174, 888?
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 645, 592, 174, 888.
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}.