LCM of 452, 678, 552, 262, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 678, 552, 262, 856 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 452, 678, 552, 262, 856. So, keep reading to learn more.
Given numbers are 452,678,552,262,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,678,552,262,856 is 874324392.
Find LCM of 452,678,552,262,856 with Prime Factorization
| 2 | 452, 678, 552, 262, 856 |
| 2 | 226, 339, 276, 131, 428 |
| 2 | 113, 339, 138, 131, 214 |
| 3 | 113, 339, 69, 131, 107 |
| 113 | 113, 113, 23, 131, 107 |
| 1, 1, 23, 131, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 1 x 1 x 23 x 131 x 107 = 874324392
Therefore, the lowest common multiple of 452,678,552,262,856 is 874324392.
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.
452 x 678 x 552 x 262 x 856 = 37938684017664
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.
452 : 1, 2, 4, 113, 226, 452
678 : 1, 2, 3, 6, 113, 226, 339, 678
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
262 : 1, 2, 131, 262
856 : 1, 2, 4, 8, 107, 214, 428, 856
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,678,552,262,856, is 2.
Now, the common factors can be found like this.
452:2x 2x 113
678:2x 3x 113
552:2x 2x 2x 3x 23
262:2x 131
856:2x 2x 2x 107
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 113 = 21696
Therefore, the value for common factors is 21696.
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 = 37938684017664/(2x21696)
LCM = 37938684017664/43392
LCM = 874324392
Thus, we can understand that the LCM of 452,678,552,262,856 is 874324392.
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FAQs on LCM of 452, 678, 552, 262, 856
1. What is the LCM of 452, 678, 552, 262, 856?
Answer: LCM of 452, 678, 552, 262, 856 is 874324392.
2. How to calculate the LCM of 452, 678, 552, 262, 856?
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 452, 678, 552, 262, 856.
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}.