Find the LCM of 335, 712, 650, 750, 402 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 335, 712, 650, 750, 402. So, keep reading to learn more.
Given numbers are 335,712,650,750,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,712,650,750,402 is 232557000.
Find LCM of 335,712,650,750,402 with Prime Factorization
2 | 335, 712, 650, 750, 402 |
3 | 335, 356, 325, 375, 201 |
5 | 335, 356, 325, 125, 67 |
5 | 67, 356, 65, 25, 67 |
67 | 67, 356, 13, 5, 67 |
1, 356, 13, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 67 x 1 x 356 x 13 x 5 x 1 = 232557000
Therefore, the lowest common multiple of 335,712,650,750,402 is 232557000.
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.
335 x 712 x 650 x 750 x 402 = 46743957000000
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.
335 : 1, 5, 67, 335
712 : 1, 2, 4, 8, 89, 178, 356, 712
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,712,650,750,402, is 1.
Now, the common factors can be found like this.
335:5x 67
712:2x 2x 2x 89
650:2x 5x 5x 13
750:2x 3x 5x 5x 5
402:2x 3x 67
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 3x 5x 5x 5x 67 = 201000
Therefore, the value for common factors is 201000.
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 = 46743957000000/(1x201000)
LCM = 46743957000000/201000
LCM = 232557000
Thus, we can understand that the LCM of 335,712,650,750,402 is 232557000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 712, 650, 750, 402?
Answer: LCM of 335, 712, 650, 750, 402 is 232557000.
2. How to calculate the LCM of 335, 712, 650, 750, 402?
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 335, 712, 650, 750, 402.
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}.