Find the LCM of 957, 213, 299, 641, 423 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 957, 213, 299, 641, 423. So, keep reading to learn more.
Given numbers are 957,213,299,641,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,213,299,641,423 is 1836194224293.
Find LCM of 957,213,299,641,423 with Prime Factorization
3 | 957, 213, 299, 641, 423 |
319, 71, 299, 641, 141 |
Multiply the prime numbers at the bottom and the left side.
3 x 319 x 71 x 299 x 641 x 141 = 1836194224293
Therefore, the lowest common multiple of 957,213,299,641,423 is 1836194224293.
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.
957 x 213 x 299 x 641 x 423 = 16525748018637
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
213 : 1, 3, 71, 213
299 : 1, 13, 23, 299
641 : 1, 641
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,213,299,641,423, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
213:3x 71
299:13x 23
641:641
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 16525748018637/(1x9)
LCM = 16525748018637/9
LCM = 1836194224293
Thus, we can understand that the LCM of 957,213,299,641,423 is 1836194224293.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 213, 299, 641, 423?
Answer: LCM of 957, 213, 299, 641, 423 is 1836194224293.
2. How to calculate the LCM of 957, 213, 299, 641, 423?
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 957, 213, 299, 641, 423.
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}.