LCM of 880, 748, 513, 228, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 748, 513, 228, 348 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 880, 748, 513, 228, 348. So, keep reading to learn more.
Given numbers are 880,748,513,228,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,748,513,228,348 is 222559920.
Find LCM of 880,748,513,228,348 with Prime Factorization
| 2 | 880, 748, 513, 228, 348 |
| 2 | 440, 374, 513, 114, 174 |
| 3 | 220, 187, 513, 57, 87 |
| 11 | 220, 187, 171, 19, 29 |
| 19 | 20, 17, 171, 19, 29 |
| 20, 17, 9, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 20 x 17 x 9 x 1 x 29 = 222559920
Therefore, the lowest common multiple of 880,748,513,228,348 is 222559920.
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.
880 x 748 x 513 x 228 x 348 = 26792653409280
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
513 : 1, 3, 9, 19, 27, 57, 171, 513
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,748,513,228,348, is 1.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
748:2x 2x 11x 17
513:3x 3x 3x 19
228:2x 2x 3x 19
348:2x 2x 3x 29
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 2x 2x 3x 3x 11x 19 = 120384
Therefore, the value for common factors is 120384.
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 = 26792653409280/(1x120384)
LCM = 26792653409280/120384
LCM = 222559920
Thus, we can understand that the LCM of 880,748,513,228,348 is 222559920.
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FAQs on LCM of 880, 748, 513, 228, 348
1. What is the LCM of 880, 748, 513, 228, 348?
Answer: LCM of 880, 748, 513, 228, 348 is 222559920.
2. How to calculate the LCM of 880, 748, 513, 228, 348?
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 880, 748, 513, 228, 348.
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}.