LCM of 894, 301, 665, 745, 283
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 301, 665, 745, 283 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, 301, 665, 745, 283. So, keep reading to learn more.
Given numbers are 894,301,665,745,283
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,301,665,745,283 is 7234592190.
Find LCM of 894,301,665,745,283 with Prime Factorization
| 5 | 894, 301, 665, 745, 283 |
| 7 | 894, 301, 133, 149, 283 |
| 149 | 894, 43, 19, 149, 283 |
| 6, 43, 19, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 149 x 6 x 43 x 19 x 1 x 283 = 7234592190
Therefore, the lowest common multiple of 894,301,665,745,283 is 7234592190.
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 301 x 665 x 745 x 283 = 37728398270850
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
301 : 1, 7, 43, 301
665 : 1, 5, 7, 19, 35, 95, 133, 665
745 : 1, 5, 149, 745
283 : 1, 283
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,301,665,745,283, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
301:7x 43
665:5x 7x 19
745:5x 149
283:283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 149 = 5215
Therefore, the value for common factors is 5215.
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 = 37728398270850/(1x5215)
LCM = 37728398270850/5215
LCM = 7234592190
Thus, we can understand that the LCM of 894,301,665,745,283 is 7234592190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 301, 665, 745, 283
1. What is the LCM of 894, 301, 665, 745, 283?
Answer: LCM of 894, 301, 665, 745, 283 is 7234592190.
2. How to calculate the LCM of 894, 301, 665, 745, 283?
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, 301, 665, 745, 283.
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}.