Find the LCM of 669, 897, 207, 141, 552 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 669, 897, 207, 141, 552. So, keep reading to learn more.
Given numbers are 669,897,207,141,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,897,207,141,552 is 225634968.
Find LCM of 669,897,207,141,552 with Prime Factorization
3 | 669, 897, 207, 141, 552 |
23 | 223, 299, 69, 47, 184 |
223, 13, 3, 47, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 223 x 13 x 3 x 47 x 8 = 225634968
Therefore, the lowest common multiple of 669,897,207,141,552 is 225634968.
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.
669 x 897 x 207 x 141 x 552 = 9668232743832
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.
669 : 1, 3, 223, 669
897 : 1, 3, 13, 23, 39, 69, 299, 897
207 : 1, 3, 9, 23, 69, 207
141 : 1, 3, 47, 141
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,897,207,141,552, is 3.
Now, the common factors can be found like this.
669:3x 223
897:3x 13x 23
207:3x 3x 23
141:3x 47
552:2x 2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 23x 23 = 14283
Therefore, the value for common factors is 14283.
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 = 9668232743832/(3x14283)
LCM = 9668232743832/42849
LCM = 225634968
Thus, we can understand that the LCM of 669,897,207,141,552 is 225634968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 669, 897, 207, 141, 552?
Answer: LCM of 669, 897, 207, 141, 552 is 225634968.
2. How to calculate the LCM of 669, 897, 207, 141, 552?
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 669, 897, 207, 141, 552.
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}.