Find the LCM of 347, 837, 755, 156, 412 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 347, 837, 755, 156, 412. So, keep reading to learn more.
Given numbers are 347,837,755,156,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,837,755,156,412 is 1174471419420.
Find LCM of 347,837,755,156,412 with Prime Factorization
2 | 347, 837, 755, 156, 412 |
2 | 347, 837, 755, 78, 206 |
3 | 347, 837, 755, 39, 103 |
347, 279, 755, 13, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 347 x 279 x 755 x 13 x 103 = 1174471419420
Therefore, the lowest common multiple of 347,837,755,156,412 is 1174471419420.
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.
347 x 837 x 755 x 156 x 412 = 14093657033040
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.
347 : 1, 347
837 : 1, 3, 9, 27, 31, 93, 279, 837
755 : 1, 5, 151, 755
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,837,755,156,412, is 1.
Now, the common factors can be found like this.
347:347
837:3x 3x 3x 31
755:5x 151
156:2x 2x 3x 13
412:2x 2x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 14093657033040/(1x12)
LCM = 14093657033040/12
LCM = 1174471419420
Thus, we can understand that the LCM of 347,837,755,156,412 is 1174471419420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 837, 755, 156, 412?
Answer: LCM of 347, 837, 755, 156, 412 is 1174471419420.
2. How to calculate the LCM of 347, 837, 755, 156, 412?
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 347, 837, 755, 156, 412.
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}.