LCM of 275, 784, 473, 727, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 275, 784, 473, 727, 532 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 275, 784, 473, 727, 532. So, keep reading to learn more.
Given numbers are 275,784,473,727,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,784,473,727,532 is 128057560400.
Find LCM of 275,784,473,727,532 with Prime Factorization
| 2 | 275, 784, 473, 727, 532 |
| 2 | 275, 392, 473, 727, 266 |
| 7 | 275, 196, 473, 727, 133 |
| 11 | 275, 28, 473, 727, 19 |
| 25, 28, 43, 727, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 25 x 28 x 43 x 727 x 19 = 128057560400
Therefore, the lowest common multiple of 275,784,473,727,532 is 128057560400.
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.
275 x 784 x 473 x 727 x 532 = 39441728603200
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.
275 : 1, 5, 11, 25, 55, 275
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
473 : 1, 11, 43, 473
727 : 1, 727
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,784,473,727,532, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
784:2x 2x 2x 2x 7x 7
473:11x 43
727:727
532:2x 2x 7x 19
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 39441728603200/(1x308)
LCM = 39441728603200/308
LCM = 128057560400
Thus, we can understand that the LCM of 275,784,473,727,532 is 128057560400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 275, 784, 473, 727, 532
1. What is the LCM of 275, 784, 473, 727, 532?
Answer: LCM of 275, 784, 473, 727, 532 is 128057560400.
2. How to calculate the LCM of 275, 784, 473, 727, 532?
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 275, 784, 473, 727, 532.
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}.