LCM of 325, 506, 152, 300, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 506, 152, 300, 540 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 325, 506, 152, 300, 540. So, keep reading to learn more.
Given numbers are 325,506,152,300,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,506,152,300,540 is 337451400.
Find LCM of 325,506,152,300,540 with Prime Factorization
| 2 | 325, 506, 152, 300, 540 |
| 2 | 325, 253, 76, 150, 270 |
| 3 | 325, 253, 38, 75, 135 |
| 5 | 325, 253, 38, 25, 45 |
| 5 | 65, 253, 38, 5, 9 |
| 13, 253, 38, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 13 x 253 x 38 x 1 x 9 = 337451400
Therefore, the lowest common multiple of 325,506,152,300,540 is 337451400.
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.
325 x 506 x 152 x 300 x 540 = 4049416800000
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.
325 : 1, 5, 13, 25, 65, 325
506 : 1, 2, 11, 22, 23, 46, 253, 506
152 : 1, 2, 4, 8, 19, 38, 76, 152
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,506,152,300,540, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
506:2x 11x 23
152:2x 2x 2x 19
300:2x 2x 3x 5x 5
540:2x 2x 3x 3x 3x 5
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 2x 3x 5x 5x 5 = 12000
Therefore, the value for common factors is 12000.
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 = 4049416800000/(1x12000)
LCM = 4049416800000/12000
LCM = 337451400
Thus, we can understand that the LCM of 325,506,152,300,540 is 337451400.
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FAQs on LCM of 325, 506, 152, 300, 540
1. What is the LCM of 325, 506, 152, 300, 540?
Answer: LCM of 325, 506, 152, 300, 540 is 337451400.
2. How to calculate the LCM of 325, 506, 152, 300, 540?
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 325, 506, 152, 300, 540.
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}.