Find the LCM of 329, 714, 597, 120, 661 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 329, 714, 597, 120, 661. So, keep reading to learn more.
Given numbers are 329,714,597,120,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,714,597,120,661 is 88283715240.
Find LCM of 329,714,597,120,661 with Prime Factorization
2 | 329, 714, 597, 120, 661 |
3 | 329, 357, 597, 60, 661 |
7 | 329, 119, 199, 20, 661 |
47, 17, 199, 20, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 47 x 17 x 199 x 20 x 661 = 88283715240
Therefore, the lowest common multiple of 329,714,597,120,661 is 88283715240.
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.
329 x 714 x 597 x 120 x 661 = 11123748120240
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.
329 : 1, 7, 47, 329
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
597 : 1, 3, 199, 597
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,714,597,120,661, is 1.
Now, the common factors can be found like this.
329:7x 47
714:2x 3x 7x 17
597:3x 199
120:2x 2x 2x 3x 5
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 11123748120240/(1x126)
LCM = 11123748120240/126
LCM = 88283715240
Thus, we can understand that the LCM of 329,714,597,120,661 is 88283715240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 329, 714, 597, 120, 661?
Answer: LCM of 329, 714, 597, 120, 661 is 88283715240.
2. How to calculate the LCM of 329, 714, 597, 120, 661?
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 329, 714, 597, 120, 661.
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}.