LCM of 334, 523, 528, 548, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 523, 528, 548, 891 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, 523, 528, 548, 891. So, keep reading to learn more.
Given numbers are 334,523,528,548,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,523,528,548,891 is 170583261552.
Find LCM of 334,523,528,548,891 with Prime Factorization
| 2 | 334, 523, 528, 548, 891 |
| 2 | 167, 523, 264, 274, 891 |
| 3 | 167, 523, 132, 137, 891 |
| 11 | 167, 523, 44, 137, 297 |
| 167, 523, 4, 137, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 167 x 523 x 4 x 137 x 27 = 170583261552
Therefore, the lowest common multiple of 334,523,528,548,891 is 170583261552.
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 523 x 528 x 548 x 891 = 45033981049728
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
523 : 1, 523
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
548 : 1, 2, 4, 137, 274, 548
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,523,528,548,891, is 1.
Now, the common factors can be found like this.
334:2x 167
523:523
528:2x 2x 2x 2x 3x 11
548:2x 2x 137
891:3x 3x 3x 3x 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 2x 2x 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 45033981049728/(1x264)
LCM = 45033981049728/264
LCM = 170583261552
Thus, we can understand that the LCM of 334,523,528,548,891 is 170583261552.
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FAQs on LCM of 334, 523, 528, 548, 891
1. What is the LCM of 334, 523, 528, 548, 891?
Answer: LCM of 334, 523, 528, 548, 891 is 170583261552.
2. How to calculate the LCM of 334, 523, 528, 548, 891?
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, 523, 528, 548, 891.
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}.