Find the LCM of 697, 137, 748, 132, 365 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 697, 137, 748, 132, 365. So, keep reading to learn more.
Given numbers are 697,137,748,132,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,137,748,132,365 is 4600660020.
Find LCM of 697,137,748,132,365 with Prime Factorization
2 | 697, 137, 748, 132, 365 |
2 | 697, 137, 374, 66, 365 |
11 | 697, 137, 187, 33, 365 |
17 | 697, 137, 17, 3, 365 |
41, 137, 1, 3, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 41 x 137 x 1 x 3 x 365 = 4600660020
Therefore, the lowest common multiple of 697,137,748,132,365 is 4600660020.
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.
697 x 137 x 748 x 132 x 365 = 3441293694960
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.
697 : 1, 17, 41, 697
137 : 1, 137
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,137,748,132,365, is 1.
Now, the common factors can be found like this.
697:17x 41
137:137
748:2x 2x 11x 17
132:2x 2x 3x 11
365:5x 73
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 3441293694960/(1x748)
LCM = 3441293694960/748
LCM = 4600660020
Thus, we can understand that the LCM of 697,137,748,132,365 is 4600660020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 137, 748, 132, 365?
Answer: LCM of 697, 137, 748, 132, 365 is 4600660020.
2. How to calculate the LCM of 697, 137, 748, 132, 365?
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 697, 137, 748, 132, 365.
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}.