LCM of 481, 402, 216, 548, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 402, 216, 548, 714 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 481, 402, 216, 548, 714. So, keep reading to learn more.
Given numbers are 481,402,216,548,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,402,216,548,714 is 113485704696.
Find LCM of 481,402,216,548,714 with Prime Factorization
| 2 | 481, 402, 216, 548, 714 |
| 2 | 481, 201, 108, 274, 357 |
| 3 | 481, 201, 54, 137, 357 |
| 481, 67, 18, 137, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 481 x 67 x 18 x 137 x 119 = 113485704696
Therefore, the lowest common multiple of 481,402,216,548,714 is 113485704696.
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.
481 x 402 x 216 x 548 x 714 = 16341941476224
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.
481 : 1, 13, 37, 481
402 : 1, 2, 3, 6, 67, 134, 201, 402
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
548 : 1, 2, 4, 137, 274, 548
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,402,216,548,714, is 1.
Now, the common factors can be found like this.
481:13x 37
402:2x 3x 67
216:2x 2x 2x 3x 3x 3
548:2x 2x 137
714:2x 3x 7x 17
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 = 16341941476224/(1x144)
LCM = 16341941476224/144
LCM = 113485704696
Thus, we can understand that the LCM of 481,402,216,548,714 is 113485704696.
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FAQs on LCM of 481, 402, 216, 548, 714
1. What is the LCM of 481, 402, 216, 548, 714?
Answer: LCM of 481, 402, 216, 548, 714 is 113485704696.
2. How to calculate the LCM of 481, 402, 216, 548, 714?
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 481, 402, 216, 548, 714.
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}.