LCM of 887, 415, 614, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 415, 614, 756 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 887, 415, 614, 756. So, keep reading to learn more.
Given numbers are 887,415,614,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,415,614,756 is 85434225660.
Find LCM of 887,415,614,756 with Prime Factorization
| 2 | 887, 415, 614, 756 |
| 887, 415, 307, 378 |
Multiply the prime numbers at the bottom and the left side.
2 x 887 x 415 x 307 x 378 = 85434225660
Therefore, the lowest common multiple of 887,415,614,756 is 85434225660.
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.
887 x 415 x 614 x 756 = 170868451320
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.
887 : 1, 887
415 : 1, 5, 83, 415
614 : 1, 2, 307, 614
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,415,614,756, is 1.
Now, the common factors can be found like this.
887:887
415:5x 83
614:2x 307
756:2x 2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 170868451320/(1x2)
LCM = 170868451320/2
LCM = 85434225660
Thus, we can understand that the LCM of 887,415,614,756 is 85434225660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 887, 415, 614, 756
1. What is the LCM of 887, 415, 614, 756?
Answer: LCM of 887, 415, 614, 756 is 85434225660.
2. How to calculate the LCM of 887, 415, 614, 756?
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 887, 415, 614, 756.
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}.