LCM of 786, 675, 898, 740, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 675, 898, 740, 758 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 786, 675, 898, 740, 758. So, keep reading to learn more.
Given numbers are 786,675,898,740,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,675,898,740,758 is 2227010859900.
Find LCM of 786,675,898,740,758 with Prime Factorization
| 2 | 786, 675, 898, 740, 758 |
| 3 | 393, 675, 449, 370, 379 |
| 5 | 131, 225, 449, 370, 379 |
| 131, 45, 449, 74, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 131 x 45 x 449 x 74 x 379 = 2227010859900
Therefore, the lowest common multiple of 786,675,898,740,758 is 2227010859900.
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.
786 x 675 x 898 x 740 x 758 = 267241303188000
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
898 : 1, 2, 449, 898
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,675,898,740,758, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
675:3x 3x 3x 5x 5
898:2x 449
740:2x 2x 5x 37
758:2x 379
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 267241303188000/(1x120)
LCM = 267241303188000/120
LCM = 2227010859900
Thus, we can understand that the LCM of 786,675,898,740,758 is 2227010859900.
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FAQs on LCM of 786, 675, 898, 740, 758
1. What is the LCM of 786, 675, 898, 740, 758?
Answer: LCM of 786, 675, 898, 740, 758 is 2227010859900.
2. How to calculate the LCM of 786, 675, 898, 740, 758?
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 786, 675, 898, 740, 758.
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}.