Find the LCM of 665, 697, 670, 278 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 665, 697, 670, 278. So, keep reading to learn more.
Given numbers are 665,697,670,278
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,697,670,278 is 8633244130.
Find LCM of 665,697,670,278 with Prime Factorization
2 | 665, 697, 670, 278 |
5 | 665, 697, 335, 139 |
133, 697, 67, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 133 x 697 x 67 x 139 = 8633244130
Therefore, the lowest common multiple of 665,697,670,278 is 8633244130.
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.
665 x 697 x 670 x 278 = 86332441300
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
697 : 1, 17, 41, 697
670 : 1, 2, 5, 10, 67, 134, 335, 670
278 : 1, 2, 139, 278
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,697,670,278, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
697:17x 41
670:2x 5x 67
278:2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 86332441300/(1x10)
LCM = 86332441300/10
LCM = 8633244130
Thus, we can understand that the LCM of 665,697,670,278 is 8633244130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 665, 697, 670, 278?
Answer: LCM of 665, 697, 670, 278 is 8633244130.
2. How to calculate the LCM of 665, 697, 670, 278?
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 665, 697, 670, 278.
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}.