LCM of 479, 588, 554, 428, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 588, 554, 428, 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 479, 588, 554, 428, 714. So, keep reading to learn more.
Given numbers are 479,588,554,428,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,588,554,428,714 is 141914021676.
Find LCM of 479,588,554,428,714 with Prime Factorization
| 2 | 479, 588, 554, 428, 714 |
| 2 | 479, 294, 277, 214, 357 |
| 3 | 479, 147, 277, 107, 357 |
| 7 | 479, 49, 277, 107, 119 |
| 479, 7, 277, 107, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 479 x 7 x 277 x 107 x 17 = 141914021676
Therefore, the lowest common multiple of 479,588,554,428,714 is 141914021676.
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.
479 x 588 x 554 x 428 x 714 = 47683111283136
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.
479 : 1, 479
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
554 : 1, 2, 277, 554
428 : 1, 2, 4, 107, 214, 428
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 479,588,554,428,714, is 1.
Now, the common factors can be found like this.
479:479
588:2x 2x 3x 7x 7
554:2x 277
428:2x 2x 107
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 7 = 336
Therefore, the value for common factors is 336.
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 = 47683111283136/(1x336)
LCM = 47683111283136/336
LCM = 141914021676
Thus, we can understand that the LCM of 479,588,554,428,714 is 141914021676.
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FAQs on LCM of 479, 588, 554, 428, 714
1. What is the LCM of 479, 588, 554, 428, 714?
Answer: LCM of 479, 588, 554, 428, 714 is 141914021676.
2. How to calculate the LCM of 479, 588, 554, 428, 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 479, 588, 554, 428, 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}.