LCM of 409, 669, 315, 548, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 669, 315, 548, 618 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, 669, 315, 548, 618. So, keep reading to learn more.
Given numbers are 409,669,315,548,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,669,315,548,618 is 1621647691020.
Find LCM of 409,669,315,548,618 with Prime Factorization
| 2 | 409, 669, 315, 548, 618 |
| 3 | 409, 669, 315, 274, 309 |
| 409, 223, 105, 274, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 409 x 223 x 105 x 274 x 103 = 1621647691020
Therefore, the lowest common multiple of 409,669,315,548,618 is 1621647691020.
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 669 x 315 x 548 x 618 = 29189658438360
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
669 : 1, 3, 223, 669
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
548 : 1, 2, 4, 137, 274, 548
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,669,315,548,618, is 1.
Now, the common factors can be found like this.
409:409
669:3x 223
315:3x 3x 5x 7
548:2x 2x 137
618:2x 3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 29189658438360/(1x18)
LCM = 29189658438360/18
LCM = 1621647691020
Thus, we can understand that the LCM of 409,669,315,548,618 is 1621647691020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 669, 315, 548, 618
1. What is the LCM of 409, 669, 315, 548, 618?
Answer: LCM of 409, 669, 315, 548, 618 is 1621647691020.
2. How to calculate the LCM of 409, 669, 315, 548, 618?
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, 669, 315, 548, 618.
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}.