Find the LCM of 321, 121, 749, 402, 670 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 321, 121, 749, 402, 670. So, keep reading to learn more.
Given numbers are 321,121,749,402,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,121,749,402,670 is 182164290.
Find LCM of 321,121,749,402,670 with Prime Factorization
2 | 321, 121, 749, 402, 670 |
3 | 321, 121, 749, 201, 335 |
67 | 107, 121, 749, 67, 335 |
107 | 107, 121, 749, 1, 5 |
1, 121, 7, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 107 x 1 x 121 x 7 x 1 x 5 = 182164290
Therefore, the lowest common multiple of 321,121,749,402,670 is 182164290.
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.
321 x 121 x 749 x 402 x 670 = 7835614770060
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.
321 : 1, 3, 107, 321
121 : 1, 11, 121
749 : 1, 7, 107, 749
402 : 1, 2, 3, 6, 67, 134, 201, 402
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,121,749,402,670, is 1.
Now, the common factors can be found like this.
321:3x 107
121:11x 11
749:7x 107
402:2x 3x 67
670:2x 5x 67
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 67x 107 = 43014
Therefore, the value for common factors is 43014.
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 = 7835614770060/(1x43014)
LCM = 7835614770060/43014
LCM = 182164290
Thus, we can understand that the LCM of 321,121,749,402,670 is 182164290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 121, 749, 402, 670?
Answer: LCM of 321, 121, 749, 402, 670 is 182164290.
2. How to calculate the LCM of 321, 121, 749, 402, 670?
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 321, 121, 749, 402, 670.
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}.