Find the LCM of 347, 594, 156, 340, 452 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, 594, 156, 340, 452. So, keep reading to learn more.
Given numbers are 347,594,156,340,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,594,156,340,452 is 51473848140.
Find LCM of 347,594,156,340,452 with Prime Factorization
2 | 347, 594, 156, 340, 452 |
2 | 347, 297, 78, 170, 226 |
3 | 347, 297, 39, 85, 113 |
347, 99, 13, 85, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 347 x 99 x 13 x 85 x 113 = 51473848140
Therefore, the lowest common multiple of 347,594,156,340,452 is 51473848140.
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 594 x 156 x 340 x 452 = 4941489421440
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,594,156,340,452, is 1.
Now, the common factors can be found like this.
347:347
594:2x 3x 3x 3x 11
156:2x 2x 3x 13
340:2x 2x 5x 17
452:2x 2x 113
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 4941489421440/(1x96)
LCM = 4941489421440/96
LCM = 51473848140
Thus, we can understand that the LCM of 347,594,156,340,452 is 51473848140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 594, 156, 340, 452?
Answer: LCM of 347, 594, 156, 340, 452 is 51473848140.
2. How to calculate the LCM of 347, 594, 156, 340, 452?
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, 594, 156, 340, 452.
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}.