Find the LCM of 436, 664, 690, 350, 425 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 436, 664, 690, 350, 425. So, keep reading to learn more.
Given numbers are 436,664,690,350,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,664,690,350,425 is 14856983400.
Find LCM of 436,664,690,350,425 with Prime Factorization
2 | 436, 664, 690, 350, 425 |
2 | 218, 332, 345, 175, 425 |
5 | 109, 166, 345, 175, 425 |
5 | 109, 166, 69, 35, 85 |
109, 166, 69, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 109 x 166 x 69 x 7 x 17 = 14856983400
Therefore, the lowest common multiple of 436,664,690,350,425 is 14856983400.
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.
436 x 664 x 690 x 350 x 425 = 29713966800000
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.
436 : 1, 2, 4, 109, 218, 436
664 : 1, 2, 4, 8, 83, 166, 332, 664
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,664,690,350,425, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
664:2x 2x 2x 83
690:2x 3x 5x 23
350:2x 5x 5x 7
425:5x 5x 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 2x 2x 2x 5x 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 29713966800000/(1x2000)
LCM = 29713966800000/2000
LCM = 14856983400
Thus, we can understand that the LCM of 436,664,690,350,425 is 14856983400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 436, 664, 690, 350, 425?
Answer: LCM of 436, 664, 690, 350, 425 is 14856983400.
2. How to calculate the LCM of 436, 664, 690, 350, 425?
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 436, 664, 690, 350, 425.
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}.