LCM of 803, 247, 266, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 247, 266, 604 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 803, 247, 266, 604. So, keep reading to learn more.
Given numbers are 803,247,266,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,247,266,604 is 838585748.
Find LCM of 803,247,266,604 with Prime Factorization
| 2 | 803, 247, 266, 604 |
| 19 | 803, 247, 133, 302 |
| 803, 13, 7, 302 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 803 x 13 x 7 x 302 = 838585748
Therefore, the lowest common multiple of 803,247,266,604 is 838585748.
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.
803 x 247 x 266 x 604 = 31866258424
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.
803 : 1, 11, 73, 803
247 : 1, 13, 19, 247
266 : 1, 2, 7, 14, 19, 38, 133, 266
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,247,266,604, is 1.
Now, the common factors can be found like this.
803:11x 73
247:13x 19
266:2x 7x 19
604:2x 2x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 31866258424/(1x38)
LCM = 31866258424/38
LCM = 838585748
Thus, we can understand that the LCM of 803,247,266,604 is 838585748.
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FAQs on LCM of 803, 247, 266, 604
1. What is the LCM of 803, 247, 266, 604?
Answer: LCM of 803, 247, 266, 604 is 838585748.
2. How to calculate the LCM of 803, 247, 266, 604?
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 803, 247, 266, 604.
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}.