LCM of 422, 187, 803, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 187, 803, 572 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 422, 187, 803, 572. So, keep reading to learn more.
Given numbers are 422,187,803,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,187,803,572 is 149778772.
Find LCM of 422,187,803,572 with Prime Factorization
| 2 | 422, 187, 803, 572 |
| 11 | 211, 187, 803, 286 |
| 211, 17, 73, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 211 x 17 x 73 x 26 = 149778772
Therefore, the lowest common multiple of 422,187,803,572 is 149778772.
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.
422 x 187 x 803 x 572 = 36246462824
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.
422 : 1, 2, 211, 422
187 : 1, 11, 17, 187
803 : 1, 11, 73, 803
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,187,803,572, is 1.
Now, the common factors can be found like this.
422:2x 211
187:11x 17
803:11x 73
572:2x 2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 36246462824/(1x242)
LCM = 36246462824/242
LCM = 149778772
Thus, we can understand that the LCM of 422,187,803,572 is 149778772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 187, 803, 572
1. What is the LCM of 422, 187, 803, 572?
Answer: LCM of 422, 187, 803, 572 is 149778772.
2. How to calculate the LCM of 422, 187, 803, 572?
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 422, 187, 803, 572.
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}.