LCM of 899, 390, 377, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 390, 377, 294 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 899, 390, 377, 294. So, keep reading to learn more.
Given numbers are 899,390,377,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,390,377,294 is 17179890.
Find LCM of 899,390,377,294 with Prime Factorization
| 2 | 899, 390, 377, 294 |
| 3 | 899, 195, 377, 147 |
| 13 | 899, 65, 377, 49 |
| 29 | 899, 5, 29, 49 |
| 31, 5, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 31 x 5 x 1 x 49 = 17179890
Therefore, the lowest common multiple of 899,390,377,294 is 17179890.
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.
899 x 390 x 377 x 294 = 38860911180
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.
899 : 1, 29, 31, 899
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
377 : 1, 13, 29, 377
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,390,377,294, is 1.
Now, the common factors can be found like this.
899:29x 31
390:2x 3x 5x 13
377:13x 29
294:2x 3x 7x 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 3x 13x 29 = 2262
Therefore, the value for common factors is 2262.
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 = 38860911180/(1x2262)
LCM = 38860911180/2262
LCM = 17179890
Thus, we can understand that the LCM of 899,390,377,294 is 17179890.
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FAQs on LCM of 899, 390, 377, 294
1. What is the LCM of 899, 390, 377, 294?
Answer: LCM of 899, 390, 377, 294 is 17179890.
2. How to calculate the LCM of 899, 390, 377, 294?
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 899, 390, 377, 294.
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}.