Find the LCM of 358, 175, 852, 716, 292 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 358, 175, 852, 716, 292. So, keep reading to learn more.
Given numbers are 358,175,852,716,292
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,175,852,716,292 is 1948289700.
Find LCM of 358,175,852,716,292 with Prime Factorization
2 | 358, 175, 852, 716, 292 |
2 | 179, 175, 426, 358, 146 |
179 | 179, 175, 213, 179, 73 |
1, 175, 213, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 1 x 175 x 213 x 1 x 73 = 1948289700
Therefore, the lowest common multiple of 358,175,852,716,292 is 1948289700.
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.
358 x 175 x 852 x 716 x 292 = 11159803401600
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.
358 : 1, 2, 179, 358
175 : 1, 5, 7, 25, 35, 175
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
716 : 1, 2, 4, 179, 358, 716
292 : 1, 2, 4, 73, 146, 292
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,175,852,716,292, is 1.
Now, the common factors can be found like this.
358:2x 179
175:5x 5x 7
852:2x 2x 3x 71
716:2x 2x 179
292:2x 2x 73
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 2x 179 = 5728
Therefore, the value for common factors is 5728.
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 = 11159803401600/(1x5728)
LCM = 11159803401600/5728
LCM = 1948289700
Thus, we can understand that the LCM of 358,175,852,716,292 is 1948289700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 358, 175, 852, 716, 292?
Answer: LCM of 358, 175, 852, 716, 292 is 1948289700.
2. How to calculate the LCM of 358, 175, 852, 716, 292?
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 358, 175, 852, 716, 292.
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}.