LCM of 923, 497, 420, 225, 795
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 497, 420, 225, 795 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, 497, 420, 225, 795. So, keep reading to learn more.
Given numbers are 923,497,420,225,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,497,420,225,795 is 308189700.
Find LCM of 923,497,420,225,795 with Prime Factorization
| 3 | 923, 497, 420, 225, 795 |
| 5 | 923, 497, 140, 75, 265 |
| 7 | 923, 497, 28, 15, 53 |
| 71 | 923, 71, 4, 15, 53 |
| 13, 1, 4, 15, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 71 x 13 x 1 x 4 x 15 x 53 = 308189700
Therefore, the lowest common multiple of 923,497,420,225,795 is 308189700.
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 497 x 420 x 225 x 795 = 34463313202500
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
497 : 1, 7, 71, 497
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,497,420,225,795, is 1.
Now, the common factors can be found like this.
923:13x 71
497:7x 71
420:2x 2x 3x 5x 7
225:3x 3x 5x 5
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7x 71 = 111825
Therefore, the value for common factors is 111825.
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 = 34463313202500/(1x111825)
LCM = 34463313202500/111825
LCM = 308189700
Thus, we can understand that the LCM of 923,497,420,225,795 is 308189700.
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FAQs on LCM of 923, 497, 420, 225, 795
1. What is the LCM of 923, 497, 420, 225, 795?
Answer: LCM of 923, 497, 420, 225, 795 is 308189700.
2. How to calculate the LCM of 923, 497, 420, 225, 795?
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, 497, 420, 225, 795.
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}.