LCM of 572, 110, 281, 305, 157
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 110, 281, 305, 157 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 572, 110, 281, 305, 157. So, keep reading to learn more.
Given numbers are 572,110,281,305,157
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,110,281,305,157 is 7696651820.
Find LCM of 572,110,281,305,157 with Prime Factorization
| 2 | 572, 110, 281, 305, 157 |
| 5 | 286, 55, 281, 305, 157 |
| 11 | 286, 11, 281, 61, 157 |
| 26, 1, 281, 61, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 26 x 1 x 281 x 61 x 157 = 7696651820
Therefore, the lowest common multiple of 572,110,281,305,157 is 7696651820.
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.
572 x 110 x 281 x 305 x 157 = 846631700200
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
110 : 1, 2, 5, 10, 11, 22, 55, 110
281 : 1, 281
305 : 1, 5, 61, 305
157 : 1, 157
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,110,281,305,157, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
110:2x 5x 11
281:281
305:5x 61
157:157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 846631700200/(1x110)
LCM = 846631700200/110
LCM = 7696651820
Thus, we can understand that the LCM of 572,110,281,305,157 is 7696651820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 110, 281, 305, 157
1. What is the LCM of 572, 110, 281, 305, 157?
Answer: LCM of 572, 110, 281, 305, 157 is 7696651820.
2. How to calculate the LCM of 572, 110, 281, 305, 157?
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 572, 110, 281, 305, 157.
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}.