Find the LCM of 785, 342, 448, 189 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 785, 342, 448, 189. So, keep reading to learn more.
Given numbers are 785,342,448,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,342,448,189 is 180411840.
Find LCM of 785,342,448,189 with Prime Factorization
2 | 785, 342, 448, 189 |
3 | 785, 171, 224, 189 |
3 | 785, 57, 224, 63 |
7 | 785, 19, 224, 21 |
785, 19, 32, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 785 x 19 x 32 x 3 = 180411840
Therefore, the lowest common multiple of 785,342,448,189 is 180411840.
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.
785 x 342 x 448 x 189 = 22731891840
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.
785 : 1, 5, 157, 785
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,342,448,189, is 1.
Now, the common factors can be found like this.
785:5x 157
342:2x 3x 3x 19
448:2x 2x 2x 2x 2x 2x 7
189:3x 3x 3x 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 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 22731891840/(1x126)
LCM = 22731891840/126
LCM = 180411840
Thus, we can understand that the LCM of 785,342,448,189 is 180411840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 342, 448, 189?
Answer: LCM of 785, 342, 448, 189 is 180411840.
2. How to calculate the LCM of 785, 342, 448, 189?
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 785, 342, 448, 189.
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}.