LCM of 436, 334, 327, 969, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 334, 327, 969, 638 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 436, 334, 327, 969, 638. So, keep reading to learn more.
Given numbers are 436,334,327,969,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,334,327,969,638 is 22506990132.
Find LCM of 436,334,327,969,638 with Prime Factorization
| 2 | 436, 334, 327, 969, 638 |
| 3 | 218, 167, 327, 969, 319 |
| 109 | 218, 167, 109, 323, 319 |
| 2, 167, 1, 323, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 2 x 167 x 1 x 323 x 319 = 22506990132
Therefore, the lowest common multiple of 436,334,327,969,638 is 22506990132.
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.
436 x 334 x 327 x 969 x 638 = 29439143092656
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.
436 : 1, 2, 4, 109, 218, 436
334 : 1, 2, 167, 334
327 : 1, 3, 109, 327
969 : 1, 3, 17, 19, 51, 57, 323, 969
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,334,327,969,638, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
334:2x 167
327:3x 109
969:3x 17x 19
638:2x 11x 29
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 3x 109 = 1308
Therefore, the value for common factors is 1308.
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 = 29439143092656/(1x1308)
LCM = 29439143092656/1308
LCM = 22506990132
Thus, we can understand that the LCM of 436,334,327,969,638 is 22506990132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 334, 327, 969, 638
1. What is the LCM of 436, 334, 327, 969, 638?
Answer: LCM of 436, 334, 327, 969, 638 is 22506990132.
2. How to calculate the LCM of 436, 334, 327, 969, 638?
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 436, 334, 327, 969, 638.
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}.