LCM of 236, 329, 806, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 329, 806, 752 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 236, 329, 806, 752. So, keep reading to learn more.
Given numbers are 236,329,806,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,329,806,752 is 125162128.
Find LCM of 236,329,806,752 with Prime Factorization
| 2 | 236, 329, 806, 752 |
| 2 | 118, 329, 403, 376 |
| 47 | 59, 329, 403, 188 |
| 59, 7, 403, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 59 x 7 x 403 x 4 = 125162128
Therefore, the lowest common multiple of 236,329,806,752 is 125162128.
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.
236 x 329 x 806 x 752 = 47060960128
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.
236 : 1, 2, 4, 59, 118, 236
329 : 1, 7, 47, 329
806 : 1, 2, 13, 26, 31, 62, 403, 806
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,329,806,752, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
329:7x 47
806:2x 13x 31
752:2x 2x 2x 2x 47
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 47 = 376
Therefore, the value for common factors is 376.
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 = 47060960128/(1x376)
LCM = 47060960128/376
LCM = 125162128
Thus, we can understand that the LCM of 236,329,806,752 is 125162128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 236, 329, 806, 752
1. What is the LCM of 236, 329, 806, 752?
Answer: LCM of 236, 329, 806, 752 is 125162128.
2. How to calculate the LCM of 236, 329, 806, 752?
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 236, 329, 806, 752.
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}.