LCM of 894, 745, 341, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 745, 341, 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 894, 745, 341, 429. So, keep reading to learn more.
Given numbers are 894,745,341,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,745,341,429 is 19815510.
Find LCM of 894,745,341,429 with Prime Factorization
| 3 | 894, 745, 341, 429 |
| 11 | 298, 745, 341, 143 |
| 149 | 298, 745, 31, 13 |
| 2, 5, 31, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 149 x 2 x 5 x 31 x 13 = 19815510
Therefore, the lowest common multiple of 894,745,341,429 is 19815510.
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 745 x 341 x 429 = 97432862670
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
745 : 1, 5, 149, 745
341 : 1, 11, 31, 341
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 894,745,341,429, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
745:5x 149
341:11x 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 11x 149 = 4917
Therefore, the value for common factors is 4917.
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 = 97432862670/(1x4917)
LCM = 97432862670/4917
LCM = 19815510
Thus, we can understand that the LCM of 894,745,341,429 is 19815510.
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FAQs on LCM of 894, 745, 341, 429
1. What is the LCM of 894, 745, 341, 429?
Answer: LCM of 894, 745, 341, 429 is 19815510.
2. How to calculate the LCM of 894, 745, 341, 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 894, 745, 341, 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}.