LCM of 409, 728, 149, 624, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 728, 149, 624, 497 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 409, 728, 149, 624, 497. So, keep reading to learn more.
Given numbers are 409,728,149,624,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,728,149,624,497 is 18899510448.
Find LCM of 409,728,149,624,497 with Prime Factorization
| 2 | 409, 728, 149, 624, 497 |
| 2 | 409, 364, 149, 312, 497 |
| 2 | 409, 182, 149, 156, 497 |
| 7 | 409, 91, 149, 78, 497 |
| 13 | 409, 13, 149, 78, 71 |
| 409, 1, 149, 6, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 409 x 1 x 149 x 6 x 71 = 18899510448
Therefore, the lowest common multiple of 409,728,149,624,497 is 18899510448.
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.
409 x 728 x 149 x 624 x 497 = 13758843606144
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.
409 : 1, 409
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
149 : 1, 149
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,728,149,624,497, is 1.
Now, the common factors can be found like this.
409:409
728:2x 2x 2x 7x 13
149:149
624:2x 2x 2x 2x 3x 13
497:7x 71
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 13758843606144/(1x728)
LCM = 13758843606144/728
LCM = 18899510448
Thus, we can understand that the LCM of 409,728,149,624,497 is 18899510448.
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FAQs on LCM of 409, 728, 149, 624, 497
1. What is the LCM of 409, 728, 149, 624, 497?
Answer: LCM of 409, 728, 149, 624, 497 is 18899510448.
2. How to calculate the LCM of 409, 728, 149, 624, 497?
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 409, 728, 149, 624, 497.
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}.