LCM of 325, 456, 609, 757, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 456, 609, 757, 360 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, 456, 609, 757, 360. So, keep reading to learn more.
Given numbers are 325,456,609,757,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,456,609,757,360 is 68322126600.
Find LCM of 325,456,609,757,360 with Prime Factorization
| 2 | 325, 456, 609, 757, 360 |
| 2 | 325, 228, 609, 757, 180 |
| 2 | 325, 114, 609, 757, 90 |
| 3 | 325, 57, 609, 757, 45 |
| 5 | 325, 19, 203, 757, 15 |
| 65, 19, 203, 757, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 65 x 19 x 203 x 757 x 3 = 68322126600
Therefore, the lowest common multiple of 325,456,609,757,360 is 68322126600.
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 456 x 609 x 757 x 360 = 24595965576000
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
609 : 1, 3, 7, 21, 29, 87, 203, 609
757 : 1, 757
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,456,609,757,360, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
456:2x 2x 2x 3x 19
609:3x 7x 29
757:757
360:2x 2x 2x 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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 24595965576000/(1x360)
LCM = 24595965576000/360
LCM = 68322126600
Thus, we can understand that the LCM of 325,456,609,757,360 is 68322126600.
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FAQs on LCM of 325, 456, 609, 757, 360
1. What is the LCM of 325, 456, 609, 757, 360?
Answer: LCM of 325, 456, 609, 757, 360 is 68322126600.
2. How to calculate the LCM of 325, 456, 609, 757, 360?
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, 456, 609, 757, 360.
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}.