LCM of 741, 855, 348, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 855, 348, 456 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 741, 855, 348, 456. So, keep reading to learn more.
Given numbers are 741,855,348,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,855,348,456 is 2578680.
Find LCM of 741,855,348,456 with Prime Factorization
| 2 | 741, 855, 348, 456 |
| 2 | 741, 855, 174, 228 |
| 3 | 741, 855, 87, 114 |
| 19 | 247, 285, 29, 38 |
| 13, 15, 29, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 13 x 15 x 29 x 2 = 2578680
Therefore, the lowest common multiple of 741,855,348,456 is 2578680.
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.
741 x 855 x 348 x 456 = 100537575840
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,855,348,456, is 3.
Now, the common factors can be found like this.
741:3x 13x 19
855:3x 3x 5x 19
348:2x 2x 3x 29
456:2x 2x 2x 3x 19
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 3x 3x 19x 19 = 12996
Therefore, the value for common factors is 12996.
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 = 100537575840/(3x12996)
LCM = 100537575840/38988
LCM = 2578680
Thus, we can understand that the LCM of 741,855,348,456 is 2578680.
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FAQs on LCM of 741, 855, 348, 456
1. What is the LCM of 741, 855, 348, 456?
Answer: LCM of 741, 855, 348, 456 is 2578680.
2. How to calculate the LCM of 741, 855, 348, 456?
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 741, 855, 348, 456.
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}.