LCM of 380, 540, 506, 150, 110
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 540, 506, 150, 110 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 380, 540, 506, 150, 110. So, keep reading to learn more.
Given numbers are 380,540,506,150,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,540,506,150,110 is 12978900.
Find LCM of 380,540,506,150,110 with Prime Factorization
| 2 | 380, 540, 506, 150, 110 |
| 2 | 190, 270, 253, 75, 55 |
| 3 | 95, 135, 253, 75, 55 |
| 5 | 95, 45, 253, 25, 55 |
| 11 | 19, 9, 253, 5, 11 |
| 19, 9, 23, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 19 x 9 x 23 x 5 x 1 = 12978900
Therefore, the lowest common multiple of 380,540,506,150,110 is 12978900.
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.
380 x 540 x 506 x 150 x 110 = 1713214800000
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
110 : 1, 2, 5, 10, 11, 22, 55, 110
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,540,506,150,110, is 2.
Now, the common factors can be found like this.
380:2x 2x 5x 19
540:2x 2x 3x 3x 3x 5
506:2x 11x 23
150:2x 3x 5x 5
110:2x 5x 11
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 2x 3x 5x 5x 5x 11 = 66000
Therefore, the value for common factors is 66000.
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 = 1713214800000/(2x66000)
LCM = 1713214800000/132000
LCM = 12978900
Thus, we can understand that the LCM of 380,540,506,150,110 is 12978900.
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FAQs on LCM of 380, 540, 506, 150, 110
1. What is the LCM of 380, 540, 506, 150, 110?
Answer: LCM of 380, 540, 506, 150, 110 is 12978900.
2. How to calculate the LCM of 380, 540, 506, 150, 110?
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 380, 540, 506, 150, 110.
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}.