LCM of 552, 352, 430, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 552, 352, 430, 860 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, 352, 430, 860. So, keep reading to learn more.
Given numbers are 552,352,430,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,352,430,860 is 5221920.
Find LCM of 552,352,430,860 with Prime Factorization
| 2 | 552, 352, 430, 860 |
| 2 | 276, 176, 215, 430 |
| 2 | 138, 88, 215, 215 |
| 5 | 69, 44, 215, 215 |
| 43 | 69, 44, 43, 43 |
| 69, 44, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 43 x 69 x 44 x 1 x 1 = 5221920
Therefore, the lowest common multiple of 552,352,430,860 is 5221920.
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 352 x 430 x 860 = 71853619200
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
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
430 : 1, 2, 5, 10, 43, 86, 215, 430
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,352,430,860, is 2.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
352:2x 2x 2x 2x 2x 11
430:2x 5x 43
860:2x 2x 5x 43
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 5x 43 = 6880
Therefore, the value for common factors is 6880.
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 = 71853619200/(2x6880)
LCM = 71853619200/13760
LCM = 5221920
Thus, we can understand that the LCM of 552,352,430,860 is 5221920.
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FAQs on LCM of 552, 352, 430, 860
1. What is the LCM of 552, 352, 430, 860?
Answer: LCM of 552, 352, 430, 860 is 5221920.
2. How to calculate the LCM of 552, 352, 430, 860?
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, 352, 430, 860.
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}.