Find the LCM of 314, 767, 174, 892, 438 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 314, 767, 174, 892, 438. So, keep reading to learn more.
Given numbers are 314,767,174,892,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,767,174,892,438 is 682184713548.
Find LCM of 314,767,174,892,438 with Prime Factorization
2 | 314, 767, 174, 892, 438 |
3 | 157, 767, 87, 446, 219 |
157, 767, 29, 446, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 767 x 29 x 446 x 73 = 682184713548
Therefore, the lowest common multiple of 314,767,174,892,438 is 682184713548.
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.
314 x 767 x 174 x 892 x 438 = 16372433125152
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.
314 : 1, 2, 157, 314
767 : 1, 13, 59, 767
174 : 1, 2, 3, 6, 29, 58, 87, 174
892 : 1, 2, 4, 223, 446, 892
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,767,174,892,438, is 1.
Now, the common factors can be found like this.
314:2x 157
767:13x 59
174:2x 3x 29
892:2x 2x 223
438:2x 3x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 16372433125152/(1x24)
LCM = 16372433125152/24
LCM = 682184713548
Thus, we can understand that the LCM of 314,767,174,892,438 is 682184713548.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 767, 174, 892, 438?
Answer: LCM of 314, 767, 174, 892, 438 is 682184713548.
2. How to calculate the LCM of 314, 767, 174, 892, 438?
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 314, 767, 174, 892, 438.
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}.