LCM of 408, 383, 364, 472, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 383, 364, 472, 546 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 408, 383, 364, 472, 546. So, keep reading to learn more.
Given numbers are 408,383,364,472,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,383,364,472,546 is 838981416.
Find LCM of 408,383,364,472,546 with Prime Factorization
| 2 | 408, 383, 364, 472, 546 |
| 2 | 204, 383, 182, 236, 273 |
| 2 | 102, 383, 91, 118, 273 |
| 3 | 51, 383, 91, 59, 273 |
| 7 | 17, 383, 91, 59, 91 |
| 13 | 17, 383, 13, 59, 13 |
| 17, 383, 1, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 17 x 383 x 1 x 59 x 1 = 838981416
Therefore, the lowest common multiple of 408,383,364,472,546 is 838981416.
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.
408 x 383 x 364 x 472 x 546 = 14658683300352
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
383 : 1, 383
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
472 : 1, 2, 4, 8, 59, 118, 236, 472
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,383,364,472,546, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
383:383
364:2x 2x 7x 13
472:2x 2x 2x 59
546:2x 3x 7x 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 2x 3x 7x 13 = 17472
Therefore, the value for common factors is 17472.
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 = 14658683300352/(1x17472)
LCM = 14658683300352/17472
LCM = 838981416
Thus, we can understand that the LCM of 408,383,364,472,546 is 838981416.
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FAQs on LCM of 408, 383, 364, 472, 546
1. What is the LCM of 408, 383, 364, 472, 546?
Answer: LCM of 408, 383, 364, 472, 546 is 838981416.
2. How to calculate the LCM of 408, 383, 364, 472, 546?
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 408, 383, 364, 472, 546.
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}.