LCM of 251, 960, 493, 928, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 960, 493, 928, 624 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, 960, 493, 928, 624. So, keep reading to learn more.
Given numbers are 251,960,493,928,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,960,493,928,624 is 1544312640.
Find LCM of 251,960,493,928,624 with Prime Factorization
| 2 | 251, 960, 493, 928, 624 |
| 2 | 251, 480, 493, 464, 312 |
| 2 | 251, 240, 493, 232, 156 |
| 2 | 251, 120, 493, 116, 78 |
| 2 | 251, 60, 493, 58, 39 |
| 3 | 251, 30, 493, 29, 39 |
| 29 | 251, 10, 493, 29, 13 |
| 251, 10, 17, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 29 x 251 x 10 x 17 x 1 x 13 = 1544312640
Therefore, the lowest common multiple of 251,960,493,928,624 is 1544312640.
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 960 x 493 x 928 x 624 = 68789862236160
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
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
493 : 1, 17, 29, 493
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,960,493,928,624, is 1.
Now, the common factors can be found like this.
251:251
960:2x 2x 2x 2x 2x 2x 3x 5
493:17x 29
928:2x 2x 2x 2x 2x 29
624:2x 2x 2x 2x 3x 13
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 2x 3x 29 = 44544
Therefore, the value for common factors is 44544.
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 = 68789862236160/(1x44544)
LCM = 68789862236160/44544
LCM = 1544312640
Thus, we can understand that the LCM of 251,960,493,928,624 is 1544312640.
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FAQs on LCM of 251, 960, 493, 928, 624
1. What is the LCM of 251, 960, 493, 928, 624?
Answer: LCM of 251, 960, 493, 928, 624 is 1544312640.
2. How to calculate the LCM of 251, 960, 493, 928, 624?
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, 960, 493, 928, 624.
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}.