LCM of 429, 799, 770, 170, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 799, 770, 170, 168 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, 799, 770, 170, 168. So, keep reading to learn more.
Given numbers are 429,799,770,170,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,799,770,170,168 is 95975880.
Find LCM of 429,799,770,170,168 with Prime Factorization
| 2 | 429, 799, 770, 170, 168 |
| 3 | 429, 799, 385, 85, 84 |
| 5 | 143, 799, 385, 85, 28 |
| 7 | 143, 799, 77, 17, 28 |
| 11 | 143, 799, 11, 17, 4 |
| 17 | 13, 799, 1, 17, 4 |
| 13, 47, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 13 x 47 x 1 x 1 x 4 = 95975880
Therefore, the lowest common multiple of 429,799,770,170,168 is 95975880.
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 799 x 770 x 170 x 168 = 7537945615200
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
799 : 1, 17, 47, 799
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
170 : 1, 2, 5, 10, 17, 34, 85, 170
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,799,770,170,168, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
799:17x 47
770:2x 5x 7x 11
170:2x 5x 17
168:2x 2x 2x 3x 7
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 5x 7x 11x 17 = 78540
Therefore, the value for common factors is 78540.
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 = 7537945615200/(1x78540)
LCM = 7537945615200/78540
LCM = 95975880
Thus, we can understand that the LCM of 429,799,770,170,168 is 95975880.
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FAQs on LCM of 429, 799, 770, 170, 168
1. What is the LCM of 429, 799, 770, 170, 168?
Answer: LCM of 429, 799, 770, 170, 168 is 95975880.
2. How to calculate the LCM of 429, 799, 770, 170, 168?
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, 799, 770, 170, 168.
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}.