Find the LCM of 347, 762, 432, 435, 270 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, 762, 432, 435, 270. So, keep reading to learn more.
Given numbers are 347,762,432,435,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,762,432,435,270 is 2760482160.
Find LCM of 347,762,432,435,270 with Prime Factorization
2 | 347, 762, 432, 435, 270 |
3 | 347, 381, 216, 435, 135 |
3 | 347, 127, 72, 145, 45 |
3 | 347, 127, 24, 145, 15 |
5 | 347, 127, 8, 145, 5 |
347, 127, 8, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 347 x 127 x 8 x 29 x 1 = 2760482160
Therefore, the lowest common multiple of 347,762,432,435,270 is 2760482160.
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 762 x 432 x 435 x 270 = 13415943297600
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
762 : 1, 2, 3, 6, 127, 254, 381, 762
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
435 : 1, 3, 5, 15, 29, 87, 145, 435
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,762,432,435,270, is 1.
Now, the common factors can be found like this.
347:347
762:2x 3x 127
432:2x 2x 2x 2x 3x 3x 3
435:3x 5x 29
270:2x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 13415943297600/(1x4860)
LCM = 13415943297600/4860
LCM = 2760482160
Thus, we can understand that the LCM of 347,762,432,435,270 is 2760482160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 347, 762, 432, 435, 270?
Answer: LCM of 347, 762, 432, 435, 270 is 2760482160.
2. How to calculate the LCM of 347, 762, 432, 435, 270?
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, 762, 432, 435, 270.
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}.