LCM of 105, 714, 217, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 714, 217, 429 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 105, 714, 217, 429. So, keep reading to learn more.
Given numbers are 105,714,217,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,714,217,429 is 15825810.
Find LCM of 105,714,217,429 with Prime Factorization
| 3 | 105, 714, 217, 429 |
| 7 | 35, 238, 217, 143 |
| 5, 34, 31, 143 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 5 x 34 x 31 x 143 = 15825810
Therefore, the lowest common multiple of 105,714,217,429 is 15825810.
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.
105 x 714 x 217 x 429 = 6979182210
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
217 : 1, 7, 31, 217
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,714,217,429, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
714:2x 3x 7x 17
217:7x 31
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 6979182210/(1x441)
LCM = 6979182210/441
LCM = 15825810
Thus, we can understand that the LCM of 105,714,217,429 is 15825810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 714, 217, 429
1. What is the LCM of 105, 714, 217, 429?
Answer: LCM of 105, 714, 217, 429 is 15825810.
2. How to calculate the LCM of 105, 714, 217, 429?
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 105, 714, 217, 429.
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}.