Find the LCM of 545, 523, 653, 698, 349 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 545, 523, 653, 698, 349. So, keep reading to learn more.
Given numbers are 545,523,653,698,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 545,523,653,698,349 is 129917242790.
Find LCM of 545,523,653,698,349 with Prime Factorization
349 | 545, 523, 653, 698, 349 |
545, 523, 653, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
349 x 545 x 523 x 653 x 2 x 1 = 129917242790
Therefore, the lowest common multiple of 545,523,653,698,349 is 129917242790.
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.
545 x 523 x 653 x 698 x 349 = 45341117733710
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.
545 : 1, 5, 109, 545
523 : 1, 523
653 : 1, 653
698 : 1, 2, 349, 698
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,523,653,698,349, is 1.
Now, the common factors can be found like this.
545:5x 109
523:523
653:653
698:2x 349
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
349 = 349
Therefore, the value for common factors is 349.
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 = 45341117733710/(1x349)
LCM = 45341117733710/349
LCM = 129917242790
Thus, we can understand that the LCM of 545,523,653,698,349 is 129917242790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 545, 523, 653, 698, 349?
Answer: LCM of 545, 523, 653, 698, 349 is 129917242790.
2. How to calculate the LCM of 545, 523, 653, 698, 349?
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 545, 523, 653, 698, 349.
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}.