LCM of 997, 550, 628, 429, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 550, 628, 429, 473 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 997, 550, 628, 429, 473. So, keep reading to learn more.
Given numbers are 997,550,628,429,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,550,628,429,473 is 288749046300.
Find LCM of 997,550,628,429,473 with Prime Factorization
| 2 | 997, 550, 628, 429, 473 |
| 11 | 997, 275, 314, 429, 473 |
| 997, 25, 314, 39, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 997 x 25 x 314 x 39 x 43 = 288749046300
Therefore, the lowest common multiple of 997,550,628,429,473 is 288749046300.
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.
997 x 550 x 628 x 429 x 473 = 69877269204600
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.
997 : 1, 997
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
628 : 1, 2, 4, 157, 314, 628
429 : 1, 3, 11, 13, 33, 39, 143, 429
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,550,628,429,473, is 1.
Now, the common factors can be found like this.
997:997
550:2x 5x 5x 11
628:2x 2x 157
429:3x 11x 13
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 69877269204600/(1x242)
LCM = 69877269204600/242
LCM = 288749046300
Thus, we can understand that the LCM of 997,550,628,429,473 is 288749046300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 997, 550, 628, 429, 473
1. What is the LCM of 997, 550, 628, 429, 473?
Answer: LCM of 997, 550, 628, 429, 473 is 288749046300.
2. How to calculate the LCM of 997, 550, 628, 429, 473?
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 997, 550, 628, 429, 473.
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}.