Find the LCM of 618, 844, 870, 840, 342 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 618, 844, 870, 840, 342. So, keep reading to learn more.
Given numbers are 618,844,870,840,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,844,870,840,342 is 30176705160.
Find LCM of 618,844,870,840,342 with Prime Factorization
2 | 618, 844, 870, 840, 342 |
2 | 309, 422, 435, 420, 171 |
3 | 309, 211, 435, 210, 171 |
5 | 103, 211, 145, 70, 57 |
103, 211, 29, 14, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 103 x 211 x 29 x 14 x 57 = 30176705160
Therefore, the lowest common multiple of 618,844,870,840,342 is 30176705160.
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.
618 x 844 x 870 x 840 x 342 = 130363366291200
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
844 : 1, 2, 4, 211, 422, 844
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,844,870,840,342, is 2.
Now, the common factors can be found like this.
618:2x 3x 103
844:2x 2x 211
870:2x 3x 5x 29
840:2x 2x 2x 3x 5x 7
342:2x 3x 3x 19
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 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 130363366291200/(2x2160)
LCM = 130363366291200/4320
LCM = 30176705160
Thus, we can understand that the LCM of 618,844,870,840,342 is 30176705160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 618, 844, 870, 840, 342?
Answer: LCM of 618, 844, 870, 840, 342 is 30176705160.
2. How to calculate the LCM of 618, 844, 870, 840, 342?
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 618, 844, 870, 840, 342.
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}.