Find the LCM of 121, 152, 319, 754, 680 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 121, 152, 319, 754, 680. So, keep reading to learn more.
Given numbers are 121,152,319,754,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,152,319,754,680 is 589371640.
Find LCM of 121,152,319,754,680 with Prime Factorization
2 | 121, 152, 319, 754, 680 |
2 | 121, 76, 319, 377, 340 |
2 | 121, 38, 319, 377, 170 |
11 | 121, 19, 319, 377, 85 |
29 | 11, 19, 29, 377, 85 |
11, 19, 1, 13, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 29 x 11 x 19 x 1 x 13 x 85 = 589371640
Therefore, the lowest common multiple of 121,152,319,754,680 is 589371640.
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.
121 x 152 x 319 x 754 x 680 = 3008152850560
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.
121 : 1, 11, 121
152 : 1, 2, 4, 8, 19, 38, 76, 152
319 : 1, 11, 29, 319
754 : 1, 2, 13, 26, 29, 58, 377, 754
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,152,319,754,680, is 1.
Now, the common factors can be found like this.
121:11x 11
152:2x 2x 2x 19
319:11x 29
754:2x 13x 29
680:2x 2x 2x 5x 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 2x 11x 29 = 5104
Therefore, the value for common factors is 5104.
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 = 3008152850560/(1x5104)
LCM = 3008152850560/5104
LCM = 589371640
Thus, we can understand that the LCM of 121,152,319,754,680 is 589371640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 152, 319, 754, 680?
Answer: LCM of 121, 152, 319, 754, 680 is 589371640.
2. How to calculate the LCM of 121, 152, 319, 754, 680?
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 121, 152, 319, 754, 680.
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}.