LCM of 702, 701, 928, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 701, 928, 216 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 702, 701, 928, 216. So, keep reading to learn more.
Given numbers are 702,701,928,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,701,928,216 is 228335328.
Find LCM of 702,701,928,216 with Prime Factorization
| 2 | 702, 701, 928, 216 |
| 2 | 351, 701, 464, 108 |
| 2 | 351, 701, 232, 54 |
| 3 | 351, 701, 116, 27 |
| 3 | 117, 701, 116, 9 |
| 3 | 39, 701, 116, 3 |
| 13, 701, 116, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 13 x 701 x 116 x 1 = 228335328
Therefore, the lowest common multiple of 702,701,928,216 is 228335328.
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.
702 x 701 x 928 x 216 = 98640861696
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
701 : 1, 701
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,701,928,216, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
701:701
928:2x 2x 2x 2x 2x 29
216:2x 2x 2x 3x 3x 3
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 3 = 432
Therefore, the value for common factors is 432.
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 = 98640861696/(1x432)
LCM = 98640861696/432
LCM = 228335328
Thus, we can understand that the LCM of 702,701,928,216 is 228335328.
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FAQs on LCM of 702, 701, 928, 216
1. What is the LCM of 702, 701, 928, 216?
Answer: LCM of 702, 701, 928, 216 is 228335328.
2. How to calculate the LCM of 702, 701, 928, 216?
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 702, 701, 928, 216.
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}.