LCM of 409, 334, 791, 945, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 334, 791, 945, 449 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, 334, 791, 945, 449. So, keep reading to learn more.
Given numbers are 409,334,791,945,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,334,791,945,449 is 6549774797790.
Find LCM of 409,334,791,945,449 with Prime Factorization
| 7 | 409, 334, 791, 945, 449 |
| 409, 334, 113, 135, 449 |
Multiply the prime numbers at the bottom and the left side.
7 x 409 x 334 x 113 x 135 x 449 = 6549774797790
Therefore, the lowest common multiple of 409,334,791,945,449 is 6549774797790.
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 334 x 791 x 945 x 449 = 45848423584530
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
334 : 1, 2, 167, 334
791 : 1, 7, 113, 791
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,334,791,945,449, is 1.
Now, the common factors can be found like this.
409:409
334:2x 167
791:7x 113
945:3x 3x 3x 5x 7
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 45848423584530/(1x7)
LCM = 45848423584530/7
LCM = 6549774797790
Thus, we can understand that the LCM of 409,334,791,945,449 is 6549774797790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 334, 791, 945, 449
1. What is the LCM of 409, 334, 791, 945, 449?
Answer: LCM of 409, 334, 791, 945, 449 is 6549774797790.
2. How to calculate the LCM of 409, 334, 791, 945, 449?
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, 334, 791, 945, 449.
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}.