LCM of 920, 447, 973, 213, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 447, 973, 213, 355 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 920, 447, 973, 213, 355. So, keep reading to learn more.
Given numbers are 920,447,973,213,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,447,973,213,355 is 28409692920.
Find LCM of 920,447,973,213,355 with Prime Factorization
| 3 | 920, 447, 973, 213, 355 |
| 5 | 920, 149, 973, 71, 355 |
| 71 | 184, 149, 973, 71, 71 |
| 184, 149, 973, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 71 x 184 x 149 x 973 x 1 x 1 = 28409692920
Therefore, the lowest common multiple of 920,447,973,213,355 is 28409692920.
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.
920 x 447 x 973 x 213 x 355 = 30256322959800
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
447 : 1, 3, 149, 447
973 : 1, 7, 139, 973
213 : 1, 3, 71, 213
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,447,973,213,355, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
447:3x 149
973:7x 139
213:3x 71
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 71 = 1065
Therefore, the value for common factors is 1065.
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 = 30256322959800/(1x1065)
LCM = 30256322959800/1065
LCM = 28409692920
Thus, we can understand that the LCM of 920,447,973,213,355 is 28409692920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 920, 447, 973, 213, 355
1. What is the LCM of 920, 447, 973, 213, 355?
Answer: LCM of 920, 447, 973, 213, 355 is 28409692920.
2. How to calculate the LCM of 920, 447, 973, 213, 355?
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 920, 447, 973, 213, 355.
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}.