LCM of 881, 920, 414, 363, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 920, 414, 363, 502 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 881, 920, 414, 363, 502. So, keep reading to learn more.
Given numbers are 881,920,414,363,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,920,414,363,502 is 221546726280.
Find LCM of 881,920,414,363,502 with Prime Factorization
| 2 | 881, 920, 414, 363, 502 |
| 3 | 881, 460, 207, 363, 251 |
| 23 | 881, 460, 69, 121, 251 |
| 881, 20, 3, 121, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 881 x 20 x 3 x 121 x 251 = 221546726280
Therefore, the lowest common multiple of 881,920,414,363,502 is 221546726280.
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.
881 x 920 x 414 x 363 x 502 = 61146896453280
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.
881 : 1, 881
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
363 : 1, 3, 11, 33, 121, 363
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,920,414,363,502, is 1.
Now, the common factors can be found like this.
881:881
920:2x 2x 2x 5x 23
414:2x 3x 3x 23
363:3x 11x 11
502:2x 251
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 23 = 276
Therefore, the value for common factors is 276.
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 = 61146896453280/(1x276)
LCM = 61146896453280/276
LCM = 221546726280
Thus, we can understand that the LCM of 881,920,414,363,502 is 221546726280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 881, 920, 414, 363, 502
1. What is the LCM of 881, 920, 414, 363, 502?
Answer: LCM of 881, 920, 414, 363, 502 is 221546726280.
2. How to calculate the LCM of 881, 920, 414, 363, 502?
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 881, 920, 414, 363, 502.
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}.