Find the LCM of 490, 774, 688, 977, 224 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 490, 774, 688, 977, 224. So, keep reading to learn more.
Given numbers are 490,774,688,977,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,774,688,977,224 is 2964296160.
Find LCM of 490,774,688,977,224 with Prime Factorization
2 | 490, 774, 688, 977, 224 |
2 | 245, 387, 344, 977, 112 |
2 | 245, 387, 172, 977, 56 |
2 | 245, 387, 86, 977, 28 |
7 | 245, 387, 43, 977, 14 |
43 | 35, 387, 43, 977, 2 |
35, 9, 1, 977, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 43 x 35 x 9 x 1 x 977 x 2 = 2964296160
Therefore, the lowest common multiple of 490,774,688,977,224 is 2964296160.
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.
490 x 774 x 688 x 977 x 224 = 57104201226240
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
977 : 1, 977
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,774,688,977,224, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
774:2x 3x 3x 43
688:2x 2x 2x 2x 43
977:977
224:2x 2x 2x 2x 2x 7
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 2x 2x 7x 43 = 19264
Therefore, the value for common factors is 19264.
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 = 57104201226240/(1x19264)
LCM = 57104201226240/19264
LCM = 2964296160
Thus, we can understand that the LCM of 490,774,688,977,224 is 2964296160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 490, 774, 688, 977, 224?
Answer: LCM of 490, 774, 688, 977, 224 is 2964296160.
2. How to calculate the LCM of 490, 774, 688, 977, 224?
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 490, 774, 688, 977, 224.
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}.