Find the LCM of 217, 924, 187, 945, 473 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 217, 924, 187, 945, 473. So, keep reading to learn more.
Given numbers are 217,924,187,945,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,924,187,945,473 is 942244380.
Find LCM of 217,924,187,945,473 with Prime Factorization
3 | 217, 924, 187, 945, 473 |
7 | 217, 308, 187, 315, 473 |
11 | 31, 44, 187, 45, 473 |
31, 4, 17, 45, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 31 x 4 x 17 x 45 x 43 = 942244380
Therefore, the lowest common multiple of 217,924,187,945,473 is 942244380.
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.
217 x 924 x 187 x 945 x 473 = 16759700787060
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.
217 : 1, 7, 31, 217
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
187 : 1, 11, 17, 187
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,924,187,945,473, is 1.
Now, the common factors can be found like this.
217:7x 31
924:2x 2x 3x 7x 11
187:11x 17
945:3x 3x 3x 5x 7
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 11x 11 = 17787
Therefore, the value for common factors is 17787.
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 = 16759700787060/(1x17787)
LCM = 16759700787060/17787
LCM = 942244380
Thus, we can understand that the LCM of 217,924,187,945,473 is 942244380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 217, 924, 187, 945, 473?
Answer: LCM of 217, 924, 187, 945, 473 is 942244380.
2. How to calculate the LCM of 217, 924, 187, 945, 473?
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 217, 924, 187, 945, 473.
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}.