Find the LCM of 402, 743, 406, 233 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 402, 743, 406, 233. So, keep reading to learn more.
Given numbers are 402,743,406,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,743,406,233 is 14127549114.
Find LCM of 402,743,406,233 with Prime Factorization
2 | 402, 743, 406, 233 |
201, 743, 203, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 201 x 743 x 203 x 233 = 14127549114
Therefore, the lowest common multiple of 402,743,406,233 is 14127549114.
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.
402 x 743 x 406 x 233 = 28255098228
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
743 : 1, 743
406 : 1, 2, 7, 14, 29, 58, 203, 406
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,743,406,233, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
743:743
406:2x 7x 29
233:233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 28255098228/(1x2)
LCM = 28255098228/2
LCM = 14127549114
Thus, we can understand that the LCM of 402,743,406,233 is 14127549114.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 743, 406, 233?
Answer: LCM of 402, 743, 406, 233 is 14127549114.
2. How to calculate the LCM of 402, 743, 406, 233?
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 402, 743, 406, 233.
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}.