Find the LCM of 950, 932, 665, 234, 588 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 950, 932, 665, 234, 588. So, keep reading to learn more.
Given numbers are 950,932,665,234,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,932,665,234,588 is 2537999100.
Find LCM of 950,932,665,234,588 with Prime Factorization
2 | 950, 932, 665, 234, 588 |
2 | 475, 466, 665, 117, 294 |
3 | 475, 233, 665, 117, 147 |
5 | 475, 233, 665, 39, 49 |
7 | 95, 233, 133, 39, 49 |
19 | 95, 233, 19, 39, 7 |
5, 233, 1, 39, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 5 x 233 x 1 x 39 x 7 = 2537999100
Therefore, the lowest common multiple of 950,932,665,234,588 is 2537999100.
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.
950 x 932 x 665 x 234 x 588 = 81012931272000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
932 : 1, 2, 4, 233, 466, 932
665 : 1, 5, 7, 19, 35, 95, 133, 665
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,932,665,234,588, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
932:2x 2x 233
665:5x 7x 19
234:2x 3x 3x 13
588:2x 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 2x 2x 2x 3x 5x 7x 19 = 31920
Therefore, the value for common factors is 31920.
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 = 81012931272000/(1x31920)
LCM = 81012931272000/31920
LCM = 2537999100
Thus, we can understand that the LCM of 950,932,665,234,588 is 2537999100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 932, 665, 234, 588?
Answer: LCM of 950, 932, 665, 234, 588 is 2537999100.
2. How to calculate the LCM of 950, 932, 665, 234, 588?
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 950, 932, 665, 234, 588.
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}.