Find the LCM of 689, 297, 650, 575, 374 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 689, 297, 650, 575, 374. So, keep reading to learn more.
Given numbers are 689,297,650,575,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,297,650,575,374 is 4000575150.
Find LCM of 689,297,650,575,374 with Prime Factorization
2 | 689, 297, 650, 575, 374 |
5 | 689, 297, 325, 575, 187 |
5 | 689, 297, 65, 115, 187 |
11 | 689, 297, 13, 23, 187 |
13 | 689, 27, 13, 23, 17 |
53, 27, 1, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 13 x 53 x 27 x 1 x 23 x 17 = 4000575150
Therefore, the lowest common multiple of 689,297,650,575,374 is 4000575150.
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.
689 x 297 x 650 x 575 x 374 = 28604112322500
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.
689 : 1, 13, 53, 689
297 : 1, 3, 9, 11, 27, 33, 99, 297
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
575 : 1, 5, 23, 25, 115, 575
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,297,650,575,374, is 1.
Now, the common factors can be found like this.
689:13x 53
297:3x 3x 3x 11
650:2x 5x 5x 13
575:5x 5x 23
374:2x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 13 = 7150
Therefore, the value for common factors is 7150.
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 = 28604112322500/(1x7150)
LCM = 28604112322500/7150
LCM = 4000575150
Thus, we can understand that the LCM of 689,297,650,575,374 is 4000575150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 297, 650, 575, 374?
Answer: LCM of 689, 297, 650, 575, 374 is 4000575150.
2. How to calculate the LCM of 689, 297, 650, 575, 374?
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 689, 297, 650, 575, 374.
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}.