LCM of 350, 381, 651, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 350, 381, 651, 889 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 350, 381, 651, 889. So, keep reading to learn more.
Given numbers are 350,381,651,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,381,651,889 is 4133850.
Find LCM of 350,381,651,889 with Prime Factorization
| 3 | 350, 381, 651, 889 |
| 7 | 350, 127, 217, 889 |
| 127 | 50, 127, 31, 127 |
| 50, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 127 x 50 x 1 x 31 x 1 = 4133850
Therefore, the lowest common multiple of 350,381,651,889 is 4133850.
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.
350 x 381 x 651 x 889 = 77174845650
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
381 : 1, 3, 127, 381
651 : 1, 3, 7, 21, 31, 93, 217, 651
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,381,651,889, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
381:3x 127
651:3x 7x 31
889:7x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 127 = 18669
Therefore, the value for common factors is 18669.
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 = 77174845650/(1x18669)
LCM = 77174845650/18669
LCM = 4133850
Thus, we can understand that the LCM of 350,381,651,889 is 4133850.
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FAQs on LCM of 350, 381, 651, 889
1. What is the LCM of 350, 381, 651, 889?
Answer: LCM of 350, 381, 651, 889 is 4133850.
2. How to calculate the LCM of 350, 381, 651, 889?
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 350, 381, 651, 889.
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}.