LCM of 334, 638, 264, 174, 878
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 638, 264, 174, 878 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 334, 638, 264, 174, 878. So, keep reading to learn more.
Given numbers are 334,638,264,174,878
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,638,264,174,878 is 561284328.
Find LCM of 334,638,264,174,878 with Prime Factorization
| 2 | 334, 638, 264, 174, 878 |
| 3 | 167, 319, 132, 87, 439 |
| 11 | 167, 319, 44, 29, 439 |
| 29 | 167, 29, 4, 29, 439 |
| 167, 1, 4, 1, 439 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 167 x 1 x 4 x 1 x 439 = 561284328
Therefore, the lowest common multiple of 334,638,264,174,878 is 561284328.
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.
334 x 638 x 264 x 174 x 878 = 8594385630336
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.
334 : 1, 2, 167, 334
638 : 1, 2, 11, 22, 29, 58, 319, 638
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
174 : 1, 2, 3, 6, 29, 58, 87, 174
878 : 1, 2, 439, 878
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,638,264,174,878, is 2.
Now, the common factors can be found like this.
334:2x 167
638:2x 11x 29
264:2x 2x 2x 3x 11
174:2x 3x 29
878:2x 439
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 3x 11x 29 = 7656
Therefore, the value for common factors is 7656.
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 = 8594385630336/(2x7656)
LCM = 8594385630336/15312
LCM = 561284328
Thus, we can understand that the LCM of 334,638,264,174,878 is 561284328.
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FAQs on LCM of 334, 638, 264, 174, 878
1. What is the LCM of 334, 638, 264, 174, 878?
Answer: LCM of 334, 638, 264, 174, 878 is 561284328.
2. How to calculate the LCM of 334, 638, 264, 174, 878?
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 334, 638, 264, 174, 878.
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}.