LCM of 228, 294, 676, 130, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 294, 676, 130, 993 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 228, 294, 676, 130, 993. So, keep reading to learn more.
Given numbers are 228,294,676,130,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,294,676,130,993 is 3124752540.
Find LCM of 228,294,676,130,993 with Prime Factorization
| 2 | 228, 294, 676, 130, 993 |
| 2 | 114, 147, 338, 65, 993 |
| 3 | 57, 147, 169, 65, 993 |
| 13 | 19, 49, 169, 65, 331 |
| 19, 49, 13, 5, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 19 x 49 x 13 x 5 x 331 = 3124752540
Therefore, the lowest common multiple of 228,294,676,130,993 is 3124752540.
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.
228 x 294 x 676 x 130 x 993 = 5849536754880
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
130 : 1, 2, 5, 10, 13, 26, 65, 130
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,294,676,130,993, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
294:2x 3x 7x 7
676:2x 2x 13x 13
130:2x 5x 13
993:3x 331
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 2x 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 5849536754880/(1x1872)
LCM = 5849536754880/1872
LCM = 3124752540
Thus, we can understand that the LCM of 228,294,676,130,993 is 3124752540.
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FAQs on LCM of 228, 294, 676, 130, 993
1. What is the LCM of 228, 294, 676, 130, 993?
Answer: LCM of 228, 294, 676, 130, 993 is 3124752540.
2. How to calculate the LCM of 228, 294, 676, 130, 993?
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 228, 294, 676, 130, 993.
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}.