Find the LCM of 546, 218, 490, 154, 685 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 546, 218, 490, 154, 685. So, keep reading to learn more.
Given numbers are 546,218,490,154,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,218,490,154,685 is 3139065930.
Find LCM of 546,218,490,154,685 with Prime Factorization
2 | 546, 218, 490, 154, 685 |
5 | 273, 109, 245, 77, 685 |
7 | 273, 109, 49, 77, 137 |
39, 109, 7, 11, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 39 x 109 x 7 x 11 x 137 = 3139065930
Therefore, the lowest common multiple of 546,218,490,154,685 is 3139065930.
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.
546 x 218 x 490 x 154 x 685 = 6152569222800
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
218 : 1, 2, 109, 218
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
154 : 1, 2, 7, 11, 14, 22, 77, 154
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,218,490,154,685, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
218:2x 109
490:2x 5x 7x 7
154:2x 7x 11
685:5x 137
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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 6152569222800/(1x1960)
LCM = 6152569222800/1960
LCM = 3139065930
Thus, we can understand that the LCM of 546,218,490,154,685 is 3139065930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 218, 490, 154, 685?
Answer: LCM of 546, 218, 490, 154, 685 is 3139065930.
2. How to calculate the LCM of 546, 218, 490, 154, 685?
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 546, 218, 490, 154, 685.
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}.