LCM of 238, 806, 748, 357, 443
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 806, 748, 357, 443 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 238, 806, 748, 357, 443. So, keep reading to learn more.
Given numbers are 238,806,748,357,443
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,806,748,357,443 is 2804333532.
Find LCM of 238,806,748,357,443 with Prime Factorization
| 2 | 238, 806, 748, 357, 443 |
| 7 | 119, 403, 374, 357, 443 |
| 17 | 17, 403, 374, 51, 443 |
| 1, 403, 22, 3, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 1 x 403 x 22 x 3 x 443 = 2804333532
Therefore, the lowest common multiple of 238,806,748,357,443 is 2804333532.
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.
238 x 806 x 748 x 357 x 443 = 22692666940944
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.
238 : 1, 2, 7, 14, 17, 34, 119, 238
806 : 1, 2, 13, 26, 31, 62, 403, 806
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
357 : 1, 3, 7, 17, 21, 51, 119, 357
443 : 1, 443
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,806,748,357,443, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
806:2x 13x 31
748:2x 2x 11x 17
357:3x 7x 17
443:443
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 7x 17x 17 = 8092
Therefore, the value for common factors is 8092.
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 = 22692666940944/(1x8092)
LCM = 22692666940944/8092
LCM = 2804333532
Thus, we can understand that the LCM of 238,806,748,357,443 is 2804333532.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 806, 748, 357, 443
1. What is the LCM of 238, 806, 748, 357, 443?
Answer: LCM of 238, 806, 748, 357, 443 is 2804333532.
2. How to calculate the LCM of 238, 806, 748, 357, 443?
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 238, 806, 748, 357, 443.
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}.