LCM of 894, 152, 132, 429, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 152, 132, 429, 808 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 894, 152, 132, 429, 808. So, keep reading to learn more.
Given numbers are 894,152,132,429,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,152,132,429,808 is 981315192.
Find LCM of 894,152,132,429,808 with Prime Factorization
| 2 | 894, 152, 132, 429, 808 |
| 2 | 447, 76, 66, 429, 404 |
| 2 | 447, 38, 33, 429, 202 |
| 3 | 447, 19, 33, 429, 101 |
| 11 | 149, 19, 11, 143, 101 |
| 149, 19, 1, 13, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 149 x 19 x 1 x 13 x 101 = 981315192
Therefore, the lowest common multiple of 894,152,132,429,808 is 981315192.
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.
894 x 152 x 132 x 429 x 808 = 6217613056512
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
152 : 1, 2, 4, 8, 19, 38, 76, 152
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
429 : 1, 3, 11, 13, 33, 39, 143, 429
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,152,132,429,808, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
152:2x 2x 2x 19
132:2x 2x 3x 11
429:3x 11x 13
808:2x 2x 2x 101
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 2x 2x 3x 3x 11 = 6336
Therefore, the value for common factors is 6336.
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 = 6217613056512/(1x6336)
LCM = 6217613056512/6336
LCM = 981315192
Thus, we can understand that the LCM of 894,152,132,429,808 is 981315192.
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FAQs on LCM of 894, 152, 132, 429, 808
1. What is the LCM of 894, 152, 132, 429, 808?
Answer: LCM of 894, 152, 132, 429, 808 is 981315192.
2. How to calculate the LCM of 894, 152, 132, 429, 808?
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 894, 152, 132, 429, 808.
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}.