LCM of 409, 572, 741, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 572, 741, 492 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, 572, 741, 492. So, keep reading to learn more.
Given numbers are 409,572,741,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,572,741,492 is 546736476.
Find LCM of 409,572,741,492 with Prime Factorization
| 2 | 409, 572, 741, 492 |
| 2 | 409, 286, 741, 246 |
| 3 | 409, 143, 741, 123 |
| 13 | 409, 143, 247, 41 |
| 409, 11, 19, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 409 x 11 x 19 x 41 = 546736476
Therefore, the lowest common multiple of 409,572,741,492 is 546736476.
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 572 x 741 x 492 = 85290890256
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
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
741 : 1, 3, 13, 19, 39, 57, 247, 741
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,572,741,492, is 1.
Now, the common factors can be found like this.
409:409
572:2x 2x 11x 13
741:3x 13x 19
492:2x 2x 3x 41
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 85290890256/(1x156)
LCM = 85290890256/156
LCM = 546736476
Thus, we can understand that the LCM of 409,572,741,492 is 546736476.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 572, 741, 492
1. What is the LCM of 409, 572, 741, 492?
Answer: LCM of 409, 572, 741, 492 is 546736476.
2. How to calculate the LCM of 409, 572, 741, 492?
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, 572, 741, 492.
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}.