Find the LCM of 688, 630, 994, 110, 977 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 688, 630, 994, 110, 977. So, keep reading to learn more.
Given numbers are 688,630,994,110,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,630,994,110,977 is 165365378640.
Find LCM of 688,630,994,110,977 with Prime Factorization
2 | 688, 630, 994, 110, 977 |
5 | 344, 315, 497, 55, 977 |
7 | 344, 63, 497, 11, 977 |
344, 9, 71, 11, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 344 x 9 x 71 x 11 x 977 = 165365378640
Therefore, the lowest common multiple of 688,630,994,110,977 is 165365378640.
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.
688 x 630 x 994 x 110 x 977 = 46302306019200
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
994 : 1, 2, 7, 14, 71, 142, 497, 994
110 : 1, 2, 5, 10, 11, 22, 55, 110
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,630,994,110,977, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
630:2x 3x 3x 5x 7
994:2x 7x 71
110:2x 5x 11
977:977
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 7 = 280
Therefore, the value for common factors is 280.
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 = 46302306019200/(1x280)
LCM = 46302306019200/280
LCM = 165365378640
Thus, we can understand that the LCM of 688,630,994,110,977 is 165365378640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 630, 994, 110, 977?
Answer: LCM of 688, 630, 994, 110, 977 is 165365378640.
2. How to calculate the LCM of 688, 630, 994, 110, 977?
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 688, 630, 994, 110, 977.
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}.