Find the LCM of 834, 375, 957, 293, 470 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 834, 375, 957, 293, 470. So, keep reading to learn more.
Given numbers are 834,375,957,293,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,375,957,293,470 is 457964933250.
Find LCM of 834,375,957,293,470 with Prime Factorization
2 | 834, 375, 957, 293, 470 |
3 | 417, 375, 957, 293, 235 |
5 | 139, 125, 319, 293, 235 |
139, 25, 319, 293, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 139 x 25 x 319 x 293 x 47 = 457964933250
Therefore, the lowest common multiple of 834,375,957,293,470 is 457964933250.
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.
834 x 375 x 957 x 293 x 470 = 41216843992500
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
375 : 1, 3, 5, 15, 25, 75, 125, 375
957 : 1, 3, 11, 29, 33, 87, 319, 957
293 : 1, 293
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,375,957,293,470, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
375:3x 5x 5x 5
957:3x 11x 29
293:293
470:2x 5x 47
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 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 41216843992500/(1x90)
LCM = 41216843992500/90
LCM = 457964933250
Thus, we can understand that the LCM of 834,375,957,293,470 is 457964933250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 375, 957, 293, 470?
Answer: LCM of 834, 375, 957, 293, 470 is 457964933250.
2. How to calculate the LCM of 834, 375, 957, 293, 470?
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 834, 375, 957, 293, 470.
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}.