Find the LCM of 397, 740, 714, 719, 309 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 397, 740, 714, 719, 309. So, keep reading to learn more.
Given numbers are 397,740,714,719,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,740,714,719,309 is 7767058169220.
Find LCM of 397,740,714,719,309 with Prime Factorization
2 | 397, 740, 714, 719, 309 |
3 | 397, 370, 357, 719, 309 |
397, 370, 119, 719, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 397 x 370 x 119 x 719 x 103 = 7767058169220
Therefore, the lowest common multiple of 397,740,714,719,309 is 7767058169220.
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.
397 x 740 x 714 x 719 x 309 = 46602349015320
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.
397 : 1, 397
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
719 : 1, 719
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,740,714,719,309, is 1.
Now, the common factors can be found like this.
397:397
740:2x 2x 5x 37
714:2x 3x 7x 17
719:719
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 46602349015320/(1x6)
LCM = 46602349015320/6
LCM = 7767058169220
Thus, we can understand that the LCM of 397,740,714,719,309 is 7767058169220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 740, 714, 719, 309?
Answer: LCM of 397, 740, 714, 719, 309 is 7767058169220.
2. How to calculate the LCM of 397, 740, 714, 719, 309?
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 397, 740, 714, 719, 309.
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}.