LCM of 238, 523, 266, 893, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 238, 523, 266, 893, 325 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, 523, 266, 893, 325. So, keep reading to learn more.
Given numbers are 238,523,266,893,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 238,523,266,893,325 is 36125466650.
Find LCM of 238,523,266,893,325 with Prime Factorization
| 2 | 238, 523, 266, 893, 325 |
| 7 | 119, 523, 133, 893, 325 |
| 19 | 17, 523, 19, 893, 325 |
| 17, 523, 1, 47, 325 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 17 x 523 x 1 x 47 x 325 = 36125466650
Therefore, the lowest common multiple of 238,523,266,893,325 is 36125466650.
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 523 x 266 x 893 x 325 = 9609374128900
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
523 : 1, 523
266 : 1, 2, 7, 14, 19, 38, 133, 266
893 : 1, 19, 47, 893
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,523,266,893,325, is 1.
Now, the common factors can be found like this.
238:2x 7x 17
523:523
266:2x 7x 19
893:19x 47
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 9609374128900/(1x266)
LCM = 9609374128900/266
LCM = 36125466650
Thus, we can understand that the LCM of 238,523,266,893,325 is 36125466650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 238, 523, 266, 893, 325
1. What is the LCM of 238, 523, 266, 893, 325?
Answer: LCM of 238, 523, 266, 893, 325 is 36125466650.
2. How to calculate the LCM of 238, 523, 266, 893, 325?
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, 523, 266, 893, 325.
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}.