Find the LCM of 151, 279, 349, 698 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 151, 279, 349, 698. So, keep reading to learn more.
Given numbers are 151,279,349,698
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,279,349,698 is 29406042.
Find LCM of 151,279,349,698 with Prime Factorization
349 | 151, 279, 349, 698 |
151, 279, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
349 x 151 x 279 x 1 x 2 = 29406042
Therefore, the lowest common multiple of 151,279,349,698 is 29406042.
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.
151 x 279 x 349 x 698 = 10262708658
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.
151 : 1, 151
279 : 1, 3, 9, 31, 93, 279
349 : 1, 349
698 : 1, 2, 349, 698
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,279,349,698, is 1.
Now, the common factors can be found like this.
151:151
279:3x 3x 31
349:349
698:2x 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 = 10262708658/(1x349)
LCM = 10262708658/349
LCM = 29406042
Thus, we can understand that the LCM of 151,279,349,698 is 29406042.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 279, 349, 698?
Answer: LCM of 151, 279, 349, 698 is 29406042.
2. How to calculate the LCM of 151, 279, 349, 698?
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 151, 279, 349, 698.
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}.