Find the LCM of 950, 330, 834, 156, 594 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, 330, 834, 156, 594. So, keep reading to learn more.
Given numbers are 950,330,834,156,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,330,834,156,594 is 1019690100.
Find LCM of 950,330,834,156,594 with Prime Factorization
2 | 950, 330, 834, 156, 594 |
3 | 475, 165, 417, 78, 297 |
5 | 475, 55, 139, 26, 99 |
11 | 95, 11, 139, 26, 99 |
95, 1, 139, 26, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 95 x 1 x 139 x 26 x 9 = 1019690100
Therefore, the lowest common multiple of 950,330,834,156,594 is 1019690100.
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 330 x 834 x 156 x 594 = 24227836776000
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
834 : 1, 2, 3, 6, 139, 278, 417, 834
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,330,834,156,594, is 2.
Now, the common factors can be found like this.
950:2x 5x 5x 19
330:2x 3x 5x 11
834:2x 3x 139
156:2x 2x 3x 13
594:2x 3x 3x 3x 11
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 3x 3x 3x 5x 11 = 11880
Therefore, the value for common factors is 11880.
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 = 24227836776000/(2x11880)
LCM = 24227836776000/23760
LCM = 1019690100
Thus, we can understand that the LCM of 950,330,834,156,594 is 1019690100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 950, 330, 834, 156, 594?
Answer: LCM of 950, 330, 834, 156, 594 is 1019690100.
2. How to calculate the LCM of 950, 330, 834, 156, 594?
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, 330, 834, 156, 594.
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}.