LCM of 923, 575, 438, 360, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 575, 438, 360, 930 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 923, 575, 438, 360, 930. So, keep reading to learn more.
Given numbers are 923,575,438,360,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,575,438,360,930 is 86474208600.
Find LCM of 923,575,438,360,930 with Prime Factorization
| 2 | 923, 575, 438, 360, 930 |
| 3 | 923, 575, 219, 180, 465 |
| 5 | 923, 575, 73, 60, 155 |
| 923, 115, 73, 12, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 923 x 115 x 73 x 12 x 31 = 86474208600
Therefore, the lowest common multiple of 923,575,438,360,930 is 86474208600.
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.
923 x 575 x 438 x 360 x 930 = 77826787740000
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.
923 : 1, 13, 71, 923
575 : 1, 5, 23, 25, 115, 575
438 : 1, 2, 3, 6, 73, 146, 219, 438
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,575,438,360,930, is 1.
Now, the common factors can be found like this.
923:13x 71
575:5x 5x 23
438:2x 3x 73
360:2x 2x 2x 3x 3x 5
930:2x 3x 5x 31
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 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 77826787740000/(1x900)
LCM = 77826787740000/900
LCM = 86474208600
Thus, we can understand that the LCM of 923,575,438,360,930 is 86474208600.
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FAQs on LCM of 923, 575, 438, 360, 930
1. What is the LCM of 923, 575, 438, 360, 930?
Answer: LCM of 923, 575, 438, 360, 930 is 86474208600.
2. How to calculate the LCM of 923, 575, 438, 360, 930?
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 923, 575, 438, 360, 930.
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}.