LCM of 508, 130, 748, 224, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 130, 748, 224, 288 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 508, 130, 748, 224, 288. So, keep reading to learn more.
Given numbers are 508,130,748,224,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,130,748,224,288 is 3112068960.
Find LCM of 508,130,748,224,288 with Prime Factorization
| 2 | 508, 130, 748, 224, 288 |
| 2 | 254, 65, 374, 112, 144 |
| 2 | 127, 65, 187, 56, 72 |
| 2 | 127, 65, 187, 28, 36 |
| 2 | 127, 65, 187, 14, 18 |
| 127, 65, 187, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 127 x 65 x 187 x 7 x 9 = 3112068960
Therefore, the lowest common multiple of 508,130,748,224,288 is 3112068960.
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.
508 x 130 x 748 x 224 x 288 = 3186758615040
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.
508 : 1, 2, 4, 127, 254, 508
130 : 1, 2, 5, 10, 13, 26, 65, 130
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,130,748,224,288, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
130:2x 5x 13
748:2x 2x 11x 17
224:2x 2x 2x 2x 2x 7
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 3186758615040/(2x512)
LCM = 3186758615040/1024
LCM = 3112068960
Thus, we can understand that the LCM of 508,130,748,224,288 is 3112068960.
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FAQs on LCM of 508, 130, 748, 224, 288
1. What is the LCM of 508, 130, 748, 224, 288?
Answer: LCM of 508, 130, 748, 224, 288 is 3112068960.
2. How to calculate the LCM of 508, 130, 748, 224, 288?
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 508, 130, 748, 224, 288.
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}.