LCM of 387, 914, 302, 384, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 914, 302, 384, 140 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 387, 914, 302, 384, 140. So, keep reading to learn more.
Given numbers are 387,914,302,384,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,914,302,384,140 is 119641576320.
Find LCM of 387,914,302,384,140 with Prime Factorization
| 2 | 387, 914, 302, 384, 140 |
| 2 | 387, 457, 151, 192, 70 |
| 3 | 387, 457, 151, 96, 35 |
| 129, 457, 151, 32, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 129 x 457 x 151 x 32 x 35 = 119641576320
Therefore, the lowest common multiple of 387,914,302,384,140 is 119641576320.
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.
387 x 914 x 302 x 384 x 140 = 5742795663360
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.
387 : 1, 3, 9, 43, 129, 387
914 : 1, 2, 457, 914
302 : 1, 2, 151, 302
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,914,302,384,140, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
914:2x 457
302:2x 151
384:2x 2x 2x 2x 2x 2x 2x 3
140:2x 2x 5x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 5742795663360/(1x48)
LCM = 5742795663360/48
LCM = 119641576320
Thus, we can understand that the LCM of 387,914,302,384,140 is 119641576320.
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FAQs on LCM of 387, 914, 302, 384, 140
1. What is the LCM of 387, 914, 302, 384, 140?
Answer: LCM of 387, 914, 302, 384, 140 is 119641576320.
2. How to calculate the LCM of 387, 914, 302, 384, 140?
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 387, 914, 302, 384, 140.
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}.