LCM of 401, 533, 840, 148, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 401, 533, 840, 148, 312 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 401, 533, 840, 148, 312. So, keep reading to learn more.
Given numbers are 401,533,840,148,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,533,840,148,312 is 6642821640.
Find LCM of 401,533,840,148,312 with Prime Factorization
| 2 | 401, 533, 840, 148, 312 |
| 2 | 401, 533, 420, 74, 156 |
| 2 | 401, 533, 210, 37, 78 |
| 3 | 401, 533, 105, 37, 39 |
| 13 | 401, 533, 35, 37, 13 |
| 401, 41, 35, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 401 x 41 x 35 x 37 x 1 = 6642821640
Therefore, the lowest common multiple of 401,533,840,148,312 is 6642821640.
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.
401 x 533 x 840 x 148 x 312 = 8290241406720
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.
401 : 1, 401
533 : 1, 13, 41, 533
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
148 : 1, 2, 4, 37, 74, 148
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,533,840,148,312, is 1.
Now, the common factors can be found like this.
401:401
533:13x 41
840:2x 2x 2x 3x 5x 7
148:2x 2x 37
312:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 8290241406720/(1x1248)
LCM = 8290241406720/1248
LCM = 6642821640
Thus, we can understand that the LCM of 401,533,840,148,312 is 6642821640.
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FAQs on LCM of 401, 533, 840, 148, 312
1. What is the LCM of 401, 533, 840, 148, 312?
Answer: LCM of 401, 533, 840, 148, 312 is 6642821640.
2. How to calculate the LCM of 401, 533, 840, 148, 312?
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 401, 533, 840, 148, 312.
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}.