LCM of 591, 407, 630, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 407, 630, 591 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 591, 407, 630, 591. So, keep reading to learn more.
Given numbers are 591,407,630,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,407,630,591 is 50512770.
Find LCM of 591,407,630,591 with Prime Factorization
| 3 | 591, 407, 630, 591 |
| 197 | 197, 407, 210, 197 |
| 1, 407, 210, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 197 x 1 x 407 x 210 x 1 = 50512770
Therefore, the lowest common multiple of 591,407,630,591 is 50512770.
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.
591 x 407 x 630 x 591 = 89559141210
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.
591 : 1, 3, 197, 591
407 : 1, 11, 37, 407
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,407,630,591, is 1.
Now, the common factors can be found like this.
591:3x 197
407:11x 37
630:2x 3x 3x 5x 7
591:3x 197
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 197 = 1773
Therefore, the value for common factors is 1773.
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 = 89559141210/(1x1773)
LCM = 89559141210/1773
LCM = 50512770
Thus, we can understand that the LCM of 591,407,630,591 is 50512770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 591, 407, 630, 591
1. What is the LCM of 591, 407, 630, 591?
Answer: LCM of 591, 407, 630, 591 is 50512770.
2. How to calculate the LCM of 591, 407, 630, 591?
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 591, 407, 630, 591.
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}.