LCM of 251, 720, 390, 189, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 720, 390, 189, 387 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 251, 720, 390, 189, 387. So, keep reading to learn more.
Given numbers are 251,720,390,189,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,720,390,189,387 is 2121472080.
Find LCM of 251,720,390,189,387 with Prime Factorization
| 2 | 251, 720, 390, 189, 387 |
| 3 | 251, 360, 195, 189, 387 |
| 3 | 251, 120, 65, 63, 129 |
| 5 | 251, 40, 65, 21, 43 |
| 251, 8, 13, 21, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 251 x 8 x 13 x 21 x 43 = 2121472080
Therefore, the lowest common multiple of 251,720,390,189,387 is 2121472080.
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.
251 x 720 x 390 x 189 x 387 = 5155177154400
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.
251 : 1, 251
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
189 : 1, 3, 7, 9, 21, 27, 63, 189
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,720,390,189,387, is 1.
Now, the common factors can be found like this.
251:251
720:2x 2x 2x 2x 3x 3x 5
390:2x 3x 5x 13
189:3x 3x 3x 7
387:3x 3x 43
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 3x 3x 3x 3x 5 = 2430
Therefore, the value for common factors is 2430.
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 = 5155177154400/(1x2430)
LCM = 5155177154400/2430
LCM = 2121472080
Thus, we can understand that the LCM of 251,720,390,189,387 is 2121472080.
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FAQs on LCM of 251, 720, 390, 189, 387
1. What is the LCM of 251, 720, 390, 189, 387?
Answer: LCM of 251, 720, 390, 189, 387 is 2121472080.
2. How to calculate the LCM of 251, 720, 390, 189, 387?
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 251, 720, 390, 189, 387.
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}.