Find the LCM of 690, 100, 712, 267, 189 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 690, 100, 712, 267, 189. So, keep reading to learn more.
Given numbers are 690,100,712,267,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,100,712,267,189 is 77376600.
Find LCM of 690,100,712,267,189 with Prime Factorization
2 | 690, 100, 712, 267, 189 |
2 | 345, 50, 356, 267, 189 |
3 | 345, 25, 178, 267, 189 |
5 | 115, 25, 178, 89, 63 |
89 | 23, 5, 178, 89, 63 |
23, 5, 2, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 89 x 23 x 5 x 2 x 1 x 63 = 77376600
Therefore, the lowest common multiple of 690,100,712,267,189 is 77376600.
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.
690 x 100 x 712 x 267 x 189 = 2479146264000
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
712 : 1, 2, 4, 8, 89, 178, 356, 712
267 : 1, 3, 89, 267
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,100,712,267,189, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
100:2x 2x 5x 5
712:2x 2x 2x 89
267:3x 89
189:3x 3x 3x 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 3x 3x 5x 89 = 32040
Therefore, the value for common factors is 32040.
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 = 2479146264000/(1x32040)
LCM = 2479146264000/32040
LCM = 77376600
Thus, we can understand that the LCM of 690,100,712,267,189 is 77376600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 690, 100, 712, 267, 189?
Answer: LCM of 690, 100, 712, 267, 189 is 77376600.
2. How to calculate the LCM of 690, 100, 712, 267, 189?
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 690, 100, 712, 267, 189.
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}.