LCM of 315, 669, 892, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 669, 892, 365 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 315, 669, 892, 365. So, keep reading to learn more.
Given numbers are 315,669,892,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,669,892,365 is 20511540.
Find LCM of 315,669,892,365 with Prime Factorization
| 3 | 315, 669, 892, 365 |
| 5 | 105, 223, 892, 365 |
| 223 | 21, 223, 892, 73 |
| 21, 1, 4, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 223 x 21 x 1 x 4 x 73 = 20511540
Therefore, the lowest common multiple of 315,669,892,365 is 20511540.
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.
315 x 669 x 892 x 365 = 68611101300
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
669 : 1, 3, 223, 669
892 : 1, 2, 4, 223, 446, 892
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,669,892,365, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
669:3x 223
892:2x 2x 223
365:5x 73
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 223 = 3345
Therefore, the value for common factors is 3345.
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 = 68611101300/(1x3345)
LCM = 68611101300/3345
LCM = 20511540
Thus, we can understand that the LCM of 315,669,892,365 is 20511540.
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FAQs on LCM of 315, 669, 892, 365
1. What is the LCM of 315, 669, 892, 365?
Answer: LCM of 315, 669, 892, 365 is 20511540.
2. How to calculate the LCM of 315, 669, 892, 365?
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 315, 669, 892, 365.
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}.