Find the LCM of 620, 751, 912, 969, 102 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 620, 751, 912, 969, 102. So, keep reading to learn more.
Given numbers are 620,751,912,969,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,751,912,969,102 is 1804743120.
Find LCM of 620,751,912,969,102 with Prime Factorization
2 | 620, 751, 912, 969, 102 |
2 | 310, 751, 456, 969, 51 |
3 | 155, 751, 228, 969, 51 |
17 | 155, 751, 76, 323, 17 |
19 | 155, 751, 76, 19, 1 |
155, 751, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 155 x 751 x 4 x 1 x 1 = 1804743120
Therefore, the lowest common multiple of 620,751,912,969,102 is 1804743120.
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.
620 x 751 x 912 x 969 x 102 = 41971105998720
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
751 : 1, 751
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
969 : 1, 3, 17, 19, 51, 57, 323, 969
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,751,912,969,102, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
751:751
912:2x 2x 2x 2x 3x 19
969:3x 17x 19
102:2x 3x 17
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 3x 3x 17x 19 = 23256
Therefore, the value for common factors is 23256.
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 = 41971105998720/(1x23256)
LCM = 41971105998720/23256
LCM = 1804743120
Thus, we can understand that the LCM of 620,751,912,969,102 is 1804743120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 751, 912, 969, 102?
Answer: LCM of 620, 751, 912, 969, 102 is 1804743120.
2. How to calculate the LCM of 620, 751, 912, 969, 102?
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 620, 751, 912, 969, 102.
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}.