LCM of 716, 591, 288, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 591, 288, 420 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 716, 591, 288, 420. So, keep reading to learn more.
Given numbers are 716,591,288,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,591,288,420 is 355451040.
Find LCM of 716,591,288,420 with Prime Factorization
| 2 | 716, 591, 288, 420 |
| 2 | 358, 591, 144, 210 |
| 3 | 179, 591, 72, 105 |
| 179, 197, 24, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 179 x 197 x 24 x 35 = 355451040
Therefore, the lowest common multiple of 716,591,288,420 is 355451040.
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.
716 x 591 x 288 x 420 = 51184949760
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.
716 : 1, 2, 4, 179, 358, 716
591 : 1, 3, 197, 591
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,591,288,420, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
591:3x 197
288:2x 2x 2x 2x 2x 3x 3
420:2x 2x 3x 5x 7
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 = 51184949760/(1x144)
LCM = 51184949760/144
LCM = 355451040
Thus, we can understand that the LCM of 716,591,288,420 is 355451040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 591, 288, 420
1. What is the LCM of 716, 591, 288, 420?
Answer: LCM of 716, 591, 288, 420 is 355451040.
2. How to calculate the LCM of 716, 591, 288, 420?
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 716, 591, 288, 420.
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}.