LCM of 676, 450, 169, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 450, 169, 803 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 676, 450, 169, 803. So, keep reading to learn more.
Given numbers are 676,450,169,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,450,169,803 is 122136300.
Find LCM of 676,450,169,803 with Prime Factorization
| 2 | 676, 450, 169, 803 |
| 13 | 338, 225, 169, 803 |
| 13 | 26, 225, 13, 803 |
| 2, 225, 1, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 2 x 225 x 1 x 803 = 122136300
Therefore, the lowest common multiple of 676,450,169,803 is 122136300.
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.
676 x 450 x 169 x 803 = 41282069400
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
169 : 1, 13, 169
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,450,169,803, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
450:2x 3x 3x 5x 5
169:13x 13
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 41282069400/(1x338)
LCM = 41282069400/338
LCM = 122136300
Thus, we can understand that the LCM of 676,450,169,803 is 122136300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 676, 450, 169, 803
1. What is the LCM of 676, 450, 169, 803?
Answer: LCM of 676, 450, 169, 803 is 122136300.
2. How to calculate the LCM of 676, 450, 169, 803?
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 676, 450, 169, 803.
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}.