LCM of 403, 604, 228, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 604, 228, 874 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 403, 604, 228, 874. So, keep reading to learn more.
Given numbers are 403,604,228,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,604,228,874 is 319113132.
Find LCM of 403,604,228,874 with Prime Factorization
| 2 | 403, 604, 228, 874 |
| 2 | 403, 302, 114, 437 |
| 19 | 403, 151, 57, 437 |
| 403, 151, 3, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 403 x 151 x 3 x 23 = 319113132
Therefore, the lowest common multiple of 403,604,228,874 is 319113132.
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.
403 x 604 x 228 x 874 = 48505196064
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.
403 : 1, 13, 31, 403
604 : 1, 2, 4, 151, 302, 604
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,604,228,874, is 1.
Now, the common factors can be found like this.
403:13x 31
604:2x 2x 151
228:2x 2x 3x 19
874:2x 19x 23
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 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 48505196064/(1x152)
LCM = 48505196064/152
LCM = 319113132
Thus, we can understand that the LCM of 403,604,228,874 is 319113132.
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FAQs on LCM of 403, 604, 228, 874
1. What is the LCM of 403, 604, 228, 874?
Answer: LCM of 403, 604, 228, 874 is 319113132.
2. How to calculate the LCM of 403, 604, 228, 874?
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 403, 604, 228, 874.
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}.