LCM of 607, 639, 582, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 639, 582, 213 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 607, 639, 582, 213. So, keep reading to learn more.
Given numbers are 607,639,582,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,639,582,213 is 75247362.
Find LCM of 607,639,582,213 with Prime Factorization
| 3 | 607, 639, 582, 213 |
| 71 | 607, 213, 194, 71 |
| 607, 3, 194, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 71 x 607 x 3 x 194 x 1 = 75247362
Therefore, the lowest common multiple of 607,639,582,213 is 75247362.
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.
607 x 639 x 582 x 213 = 48083064318
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.
607 : 1, 607
639 : 1, 3, 9, 71, 213, 639
582 : 1, 2, 3, 6, 97, 194, 291, 582
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,639,582,213, is 1.
Now, the common factors can be found like this.
607:607
639:3x 3x 71
582:2x 3x 97
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 71 = 639
Therefore, the value for common factors is 639.
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 = 48083064318/(1x639)
LCM = 48083064318/639
LCM = 75247362
Thus, we can understand that the LCM of 607,639,582,213 is 75247362.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 607, 639, 582, 213
1. What is the LCM of 607, 639, 582, 213?
Answer: LCM of 607, 639, 582, 213 is 75247362.
2. How to calculate the LCM of 607, 639, 582, 213?
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 607, 639, 582, 213.
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}.