LCM of 540, 409, 267, 477, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 409, 267, 477, 785 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 540, 409, 267, 477, 785. So, keep reading to learn more.
Given numbers are 540,409,267,477,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,409,267,477,785 is 163562069340.
Find LCM of 540,409,267,477,785 with Prime Factorization
| 3 | 540, 409, 267, 477, 785 |
| 3 | 180, 409, 89, 159, 785 |
| 5 | 60, 409, 89, 53, 785 |
| 12, 409, 89, 53, 157 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 12 x 409 x 89 x 53 x 157 = 163562069340
Therefore, the lowest common multiple of 540,409,267,477,785 is 163562069340.
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.
540 x 409 x 267 x 477 x 785 = 22080879360900
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
409 : 1, 409
267 : 1, 3, 89, 267
477 : 1, 3, 9, 53, 159, 477
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,409,267,477,785, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
409:409
267:3x 89
477:3x 3x 53
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 22080879360900/(1x135)
LCM = 22080879360900/135
LCM = 163562069340
Thus, we can understand that the LCM of 540,409,267,477,785 is 163562069340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 540, 409, 267, 477, 785
1. What is the LCM of 540, 409, 267, 477, 785?
Answer: LCM of 540, 409, 267, 477, 785 is 163562069340.
2. How to calculate the LCM of 540, 409, 267, 477, 785?
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 540, 409, 267, 477, 785.
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}.