LCM of 312, 874, 608, 299, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 874, 608, 299, 661 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 312, 874, 608, 299, 661. So, keep reading to learn more.
Given numbers are 312,874,608,299,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,874,608,299,661 is 360493536.
Find LCM of 312,874,608,299,661 with Prime Factorization
| 2 | 312, 874, 608, 299, 661 |
| 2 | 156, 437, 304, 299, 661 |
| 2 | 78, 437, 152, 299, 661 |
| 13 | 39, 437, 76, 299, 661 |
| 19 | 3, 437, 76, 23, 661 |
| 23 | 3, 23, 4, 23, 661 |
| 3, 1, 4, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 23 x 3 x 1 x 4 x 1 x 661 = 360493536
Therefore, the lowest common multiple of 312,874,608,299,661 is 360493536.
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.
312 x 874 x 608 x 299 x 661 = 32767420448256
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
874 : 1, 2, 19, 23, 38, 46, 437, 874
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
299 : 1, 13, 23, 299
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,874,608,299,661, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
874:2x 19x 23
608:2x 2x 2x 2x 2x 19
299:13x 23
661:661
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 2x 2x 13x 19x 23 = 90896
Therefore, the value for common factors is 90896.
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 = 32767420448256/(1x90896)
LCM = 32767420448256/90896
LCM = 360493536
Thus, we can understand that the LCM of 312,874,608,299,661 is 360493536.
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FAQs on LCM of 312, 874, 608, 299, 661
1. What is the LCM of 312, 874, 608, 299, 661?
Answer: LCM of 312, 874, 608, 299, 661 is 360493536.
2. How to calculate the LCM of 312, 874, 608, 299, 661?
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 312, 874, 608, 299, 661.
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}.