LCM of 151, 584, 638, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 584, 638, 319 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 151, 584, 638, 319. So, keep reading to learn more.
Given numbers are 151,584,638,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,584,638,319 is 28130696.
Find LCM of 151,584,638,319 with Prime Factorization
| 2 | 151, 584, 638, 319 |
| 11 | 151, 292, 319, 319 |
| 29 | 151, 292, 29, 29 |
| 151, 292, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 151 x 292 x 1 x 1 = 28130696
Therefore, the lowest common multiple of 151,584,638,319 is 28130696.
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.
151 x 584 x 638 x 319 = 17947384048
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.
151 : 1, 151
584 : 1, 2, 4, 8, 73, 146, 292, 584
638 : 1, 2, 11, 22, 29, 58, 319, 638
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,584,638,319, is 1.
Now, the common factors can be found like this.
151:151
584:2x 2x 2x 73
638:2x 11x 29
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 29 = 638
Therefore, the value for common factors is 638.
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 = 17947384048/(1x638)
LCM = 17947384048/638
LCM = 28130696
Thus, we can understand that the LCM of 151,584,638,319 is 28130696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 151, 584, 638, 319
1. What is the LCM of 151, 584, 638, 319?
Answer: LCM of 151, 584, 638, 319 is 28130696.
2. How to calculate the LCM of 151, 584, 638, 319?
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 151, 584, 638, 319.
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}.