Find the LCM of 107, 584, 429, 876, 175 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 107, 584, 429, 876, 175. So, keep reading to learn more.
Given numbers are 107,584,429,876,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,584,429,876,175 is 4691286600.
Find LCM of 107,584,429,876,175 with Prime Factorization
2 | 107, 584, 429, 876, 175 |
2 | 107, 292, 429, 438, 175 |
3 | 107, 146, 429, 219, 175 |
73 | 107, 146, 143, 73, 175 |
107, 2, 143, 1, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 73 x 107 x 2 x 143 x 1 x 175 = 4691286600
Therefore, the lowest common multiple of 107,584,429,876,175 is 4691286600.
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.
107 x 584 x 429 x 876 x 175 = 4109567061600
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.
107 : 1, 107
584 : 1, 2, 4, 8, 73, 146, 292, 584
429 : 1, 3, 11, 13, 33, 39, 143, 429
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,584,429,876,175, is 1.
Now, the common factors can be found like this.
107:107
584:2x 2x 2x 73
429:3x 11x 13
876:2x 2x 3x 73
175:5x 5x 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 3x 73 = 876
Therefore, the value for common factors is 876.
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 = 4109567061600/(1x876)
LCM = 4109567061600/876
LCM = 4691286600
Thus, we can understand that the LCM of 107,584,429,876,175 is 4691286600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 584, 429, 876, 175?
Answer: LCM of 107, 584, 429, 876, 175 is 4691286600.
2. How to calculate the LCM of 107, 584, 429, 876, 175?
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 107, 584, 429, 876, 175.
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}.