LCM of 481, 724, 698, 195, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 724, 698, 195, 368 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 481, 724, 698, 195, 368. So, keep reading to learn more.
Given numbers are 481,724,698,195,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,724,698,195,368 is 167721275280.
Find LCM of 481,724,698,195,368 with Prime Factorization
| 2 | 481, 724, 698, 195, 368 |
| 2 | 481, 362, 349, 195, 184 |
| 13 | 481, 181, 349, 195, 92 |
| 37, 181, 349, 15, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 37 x 181 x 349 x 15 x 92 = 167721275280
Therefore, the lowest common multiple of 481,724,698,195,368 is 167721275280.
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.
481 x 724 x 698 x 195 x 368 = 17443012629120
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.
481 : 1, 13, 37, 481
724 : 1, 2, 4, 181, 362, 724
698 : 1, 2, 349, 698
195 : 1, 3, 5, 13, 15, 39, 65, 195
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,724,698,195,368, is 1.
Now, the common factors can be found like this.
481:13x 37
724:2x 2x 181
698:2x 349
195:3x 5x 13
368:2x 2x 2x 2x 23
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 13 = 104
Therefore, the value for common factors is 104.
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 = 17443012629120/(1x104)
LCM = 17443012629120/104
LCM = 167721275280
Thus, we can understand that the LCM of 481,724,698,195,368 is 167721275280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 724, 698, 195, 368
1. What is the LCM of 481, 724, 698, 195, 368?
Answer: LCM of 481, 724, 698, 195, 368 is 167721275280.
2. How to calculate the LCM of 481, 724, 698, 195, 368?
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 481, 724, 698, 195, 368.
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}.