LCM of 429, 362, 416, 918, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 362, 416, 918, 721 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, 362, 416, 918, 721. So, keep reading to learn more.
Given numbers are 429,362,416,918,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,362,416,918,721 is 274102212384.
Find LCM of 429,362,416,918,721 with Prime Factorization
| 2 | 429, 362, 416, 918, 721 |
| 3 | 429, 181, 208, 459, 721 |
| 13 | 143, 181, 208, 153, 721 |
| 11, 181, 16, 153, 721 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 11 x 181 x 16 x 153 x 721 = 274102212384
Therefore, the lowest common multiple of 429,362,416,918,721 is 274102212384.
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 362 x 416 x 918 x 721 = 42759945131904
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
362 : 1, 2, 181, 362
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,362,416,918,721, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
362:2x 181
416:2x 2x 2x 2x 2x 13
918:2x 3x 3x 3x 17
721:7x 103
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 42759945131904/(1x156)
LCM = 42759945131904/156
LCM = 274102212384
Thus, we can understand that the LCM of 429,362,416,918,721 is 274102212384.
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FAQs on LCM of 429, 362, 416, 918, 721
1. What is the LCM of 429, 362, 416, 918, 721?
Answer: LCM of 429, 362, 416, 918, 721 is 274102212384.
2. How to calculate the LCM of 429, 362, 416, 918, 721?
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, 362, 416, 918, 721.
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}.