LCM of 467, 245, 768, 624, 129
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 245, 768, 624, 129 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 467, 245, 768, 624, 129. So, keep reading to learn more.
Given numbers are 467,245,768,624,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,245,768,624,129 is 49119732480.
Find LCM of 467,245,768,624,129 with Prime Factorization
| 2 | 467, 245, 768, 624, 129 |
| 2 | 467, 245, 384, 312, 129 |
| 2 | 467, 245, 192, 156, 129 |
| 2 | 467, 245, 96, 78, 129 |
| 3 | 467, 245, 48, 39, 129 |
| 467, 245, 16, 13, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 467 x 245 x 16 x 13 x 43 = 49119732480
Therefore, the lowest common multiple of 467,245,768,624,129 is 49119732480.
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.
467 x 245 x 768 x 624 x 129 = 7073241477120
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.
467 : 1, 467
245 : 1, 5, 7, 35, 49, 245
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,245,768,624,129, is 1.
Now, the common factors can be found like this.
467:467
245:5x 7x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
624:2x 2x 2x 2x 3x 13
129:3x 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 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 7073241477120/(1x144)
LCM = 7073241477120/144
LCM = 49119732480
Thus, we can understand that the LCM of 467,245,768,624,129 is 49119732480.
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FAQs on LCM of 467, 245, 768, 624, 129
1. What is the LCM of 467, 245, 768, 624, 129?
Answer: LCM of 467, 245, 768, 624, 129 is 49119732480.
2. How to calculate the LCM of 467, 245, 768, 624, 129?
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 467, 245, 768, 624, 129.
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}.