LCM of 238, 849, 644, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 849, 644, 693 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, 849, 644, 693. So, keep reading to learn more.
Given numbers are 238,849,644,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,849,644,693 is 306730116.
Find LCM of 238,849,644,693 with Prime Factorization
| 2 | 238, 849, 644, 693 |
| 3 | 119, 849, 322, 693 |
| 7 | 119, 283, 322, 231 |
| 17, 283, 46, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 283 x 46 x 33 = 306730116
Therefore, the lowest common multiple of 238,849,644,693 is 306730116.
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 849 x 644 x 693 = 90178654104
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
849 : 1, 3, 283, 849
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,849,644,693, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
849:3x 283
644:2x 2x 7x 23
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 7 = 294
Therefore, the value for common factors is 294.
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 = 90178654104/(1x294)
LCM = 90178654104/294
LCM = 306730116
Thus, we can understand that the LCM of 238,849,644,693 is 306730116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 849, 644, 693
1. What is the LCM of 238, 849, 644, 693?
Answer: LCM of 238, 849, 644, 693 is 306730116.
2. How to calculate the LCM of 238, 849, 644, 693?
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, 849, 644, 693.
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}.