LCM of 429, 748, 714, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 748, 714, 488 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 429, 748, 714, 488. So, keep reading to learn more.
Given numbers are 429,748,714,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,748,714,488 is 24912888.
Find LCM of 429,748,714,488 with Prime Factorization
| 2 | 429, 748, 714, 488 |
| 2 | 429, 374, 357, 244 |
| 3 | 429, 187, 357, 122 |
| 11 | 143, 187, 119, 122 |
| 17 | 13, 17, 119, 122 |
| 13, 1, 7, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 13 x 1 x 7 x 122 = 24912888
Therefore, the lowest common multiple of 429,748,714,488 is 24912888.
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.
429 x 748 x 714 x 488 = 111809041344
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,748,714,488, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
748:2x 2x 11x 17
714:2x 3x 7x 17
488:2x 2x 2x 61
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 3x 11x 17 = 4488
Therefore, the value for common factors is 4488.
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 = 111809041344/(1x4488)
LCM = 111809041344/4488
LCM = 24912888
Thus, we can understand that the LCM of 429,748,714,488 is 24912888.
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FAQs on LCM of 429, 748, 714, 488
1. What is the LCM of 429, 748, 714, 488?
Answer: LCM of 429, 748, 714, 488 is 24912888.
2. How to calculate the LCM of 429, 748, 714, 488?
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 429, 748, 714, 488.
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}.