Find the LCM of 156, 435, 238, 672, 445 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 156, 435, 238, 672, 445. So, keep reading to learn more.
Given numbers are 156,435,238,672,445
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,435,238,672,445 is 1916547360.
Find LCM of 156,435,238,672,445 with Prime Factorization
2 | 156, 435, 238, 672, 445 |
2 | 78, 435, 119, 336, 445 |
3 | 39, 435, 119, 168, 445 |
5 | 13, 145, 119, 56, 445 |
7 | 13, 29, 119, 56, 89 |
13, 29, 17, 8, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 29 x 17 x 8 x 89 = 1916547360
Therefore, the lowest common multiple of 156,435,238,672,445 is 1916547360.
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.
156 x 435 x 238 x 672 x 445 = 4829699347200
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
435 : 1, 3, 5, 15, 29, 87, 145, 435
238 : 1, 2, 7, 14, 17, 34, 119, 238
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
445 : 1, 5, 89, 445
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,435,238,672,445, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
435:3x 5x 29
238:2x 7x 17
672:2x 2x 2x 2x 2x 3x 7
445:5x 89
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 3x 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 4829699347200/(1x2520)
LCM = 4829699347200/2520
LCM = 1916547360
Thus, we can understand that the LCM of 156,435,238,672,445 is 1916547360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 435, 238, 672, 445?
Answer: LCM of 156, 435, 238, 672, 445 is 1916547360.
2. How to calculate the LCM of 156, 435, 238, 672, 445?
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 156, 435, 238, 672, 445.
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}.