LCM of 803, 551, 418, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 803, 551, 418, 403 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, 551, 418, 403. So, keep reading to learn more.
Given numbers are 803,551,418,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,551,418,403 is 356617118.
Find LCM of 803,551,418,403 with Prime Factorization
| 11 | 803, 551, 418, 403 |
| 19 | 73, 551, 38, 403 |
| 73, 29, 2, 403 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 73 x 29 x 2 x 403 = 356617118
Therefore, the lowest common multiple of 803,551,418,403 is 356617118.
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 551 x 418 x 403 = 74532977662
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
551 : 1, 19, 29, 551
418 : 1, 2, 11, 19, 22, 38, 209, 418
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,551,418,403, is 1.
Now, the common factors can be found like this.
803:11x 73
551:19x 29
418:2x 11x 19
403:13x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 74532977662/(1x209)
LCM = 74532977662/209
LCM = 356617118
Thus, we can understand that the LCM of 803,551,418,403 is 356617118.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 803, 551, 418, 403
1. What is the LCM of 803, 551, 418, 403?
Answer: LCM of 803, 551, 418, 403 is 356617118.
2. How to calculate the LCM of 803, 551, 418, 403?
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, 551, 418, 403.
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}.