LCM of 247, 162, 362, 228, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 162, 362, 228, 628 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 247, 162, 362, 228, 628. So, keep reading to learn more.
Given numbers are 247,162,362,228,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,162,362,228,628 is 2274155676.
Find LCM of 247,162,362,228,628 with Prime Factorization
| 2 | 247, 162, 362, 228, 628 |
| 2 | 247, 81, 181, 114, 314 |
| 3 | 247, 81, 181, 57, 157 |
| 19 | 247, 27, 181, 19, 157 |
| 13, 27, 181, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 13 x 27 x 181 x 1 x 157 = 2274155676
Therefore, the lowest common multiple of 247,162,362,228,628 is 2274155676.
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.
247 x 162 x 362 x 228 x 628 = 2074029976512
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.
247 : 1, 13, 19, 247
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
362 : 1, 2, 181, 362
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,162,362,228,628, is 1.
Now, the common factors can be found like this.
247:13x 19
162:2x 3x 3x 3x 3
362:2x 181
228:2x 2x 3x 19
628:2x 2x 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 2x 2x 2x 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 2074029976512/(1x912)
LCM = 2074029976512/912
LCM = 2274155676
Thus, we can understand that the LCM of 247,162,362,228,628 is 2274155676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 162, 362, 228, 628
1. What is the LCM of 247, 162, 362, 228, 628?
Answer: LCM of 247, 162, 362, 228, 628 is 2274155676.
2. How to calculate the LCM of 247, 162, 362, 228, 628?
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 247, 162, 362, 228, 628.
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}.