LCM of 879, 770, 814, 589, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 770, 814, 589, 618 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 879, 770, 814, 589, 618. So, keep reading to learn more.
Given numbers are 879,770,814,589,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,770,814,589,618 is 1519266087570.
Find LCM of 879,770,814,589,618 with Prime Factorization
| 2 | 879, 770, 814, 589, 618 |
| 3 | 879, 385, 407, 589, 309 |
| 11 | 293, 385, 407, 589, 103 |
| 293, 35, 37, 589, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 293 x 35 x 37 x 589 x 103 = 1519266087570
Therefore, the lowest common multiple of 879,770,814,589,618 is 1519266087570.
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.
879 x 770 x 814 x 589 x 618 = 200543123559240
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.
879 : 1, 3, 293, 879
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
814 : 1, 2, 11, 22, 37, 74, 407, 814
589 : 1, 19, 31, 589
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,770,814,589,618, is 1.
Now, the common factors can be found like this.
879:3x 293
770:2x 5x 7x 11
814:2x 11x 37
589:19x 31
618:2x 3x 103
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 200543123559240/(1x132)
LCM = 200543123559240/132
LCM = 1519266087570
Thus, we can understand that the LCM of 879,770,814,589,618 is 1519266087570.
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FAQs on LCM of 879, 770, 814, 589, 618
1. What is the LCM of 879, 770, 814, 589, 618?
Answer: LCM of 879, 770, 814, 589, 618 is 1519266087570.
2. How to calculate the LCM of 879, 770, 814, 589, 618?
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 879, 770, 814, 589, 618.
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}.