LCM of 347, 362, 570, 270, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 362, 570, 270, 895 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, 362, 570, 270, 895. So, keep reading to learn more.
Given numbers are 347,362,570,270,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,362,570,270,895 is 57673783890.
Find LCM of 347,362,570,270,895 with Prime Factorization
| 2 | 347, 362, 570, 270, 895 |
| 3 | 347, 181, 285, 135, 895 |
| 5 | 347, 181, 95, 45, 895 |
| 347, 181, 19, 9, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 347 x 181 x 19 x 9 x 179 = 57673783890
Therefore, the lowest common multiple of 347,362,570,270,895 is 57673783890.
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 362 x 570 x 270 x 895 = 17302135167000
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
362 : 1, 2, 181, 362
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,362,570,270,895, is 1.
Now, the common factors can be found like this.
347:347
362:2x 181
570:2x 3x 5x 19
270:2x 3x 3x 3x 5
895:5x 179
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 17302135167000/(1x300)
LCM = 17302135167000/300
LCM = 57673783890
Thus, we can understand that the LCM of 347,362,570,270,895 is 57673783890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 347, 362, 570, 270, 895
1. What is the LCM of 347, 362, 570, 270, 895?
Answer: LCM of 347, 362, 570, 270, 895 is 57673783890.
2. How to calculate the LCM of 347, 362, 570, 270, 895?
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, 362, 570, 270, 895.
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}.