LCM of 638, 493, 141, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 493, 141, 768 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 638, 493, 141, 768. So, keep reading to learn more.
Given numbers are 638,493,141,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,493,141,768 is 195748608.
Find LCM of 638,493,141,768 with Prime Factorization
| 2 | 638, 493, 141, 768 |
| 3 | 319, 493, 141, 384 |
| 29 | 319, 493, 47, 128 |
| 11, 17, 47, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 11 x 17 x 47 x 128 = 195748608
Therefore, the lowest common multiple of 638,493,141,768 is 195748608.
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.
638 x 493 x 141 x 768 = 34060257792
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
493 : 1, 17, 29, 493
141 : 1, 3, 47, 141
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,493,141,768, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
493:17x 29
141:3x 47
768:2x 2x 2x 2x 2x 2x 2x 2x 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 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 34060257792/(1x174)
LCM = 34060257792/174
LCM = 195748608
Thus, we can understand that the LCM of 638,493,141,768 is 195748608.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 493, 141, 768
1. What is the LCM of 638, 493, 141, 768?
Answer: LCM of 638, 493, 141, 768 is 195748608.
2. How to calculate the LCM of 638, 493, 141, 768?
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 638, 493, 141, 768.
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}.