Find the LCM of 402, 709, 746, 167 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, 709, 746, 167. So, keep reading to learn more.
Given numbers are 402,709,746,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,709,746,167 is 17754056238.
Find LCM of 402,709,746,167 with Prime Factorization
2 | 402, 709, 746, 167 |
201, 709, 373, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 201 x 709 x 373 x 167 = 17754056238
Therefore, the lowest common multiple of 402,709,746,167 is 17754056238.
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 709 x 746 x 167 = 35508112476
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
709 : 1, 709
746 : 1, 2, 373, 746
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,709,746,167, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
709:709
746:2x 373
167:167
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 = 35508112476/(1x2)
LCM = 35508112476/2
LCM = 17754056238
Thus, we can understand that the LCM of 402,709,746,167 is 17754056238.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 709, 746, 167?
Answer: LCM of 402, 709, 746, 167 is 17754056238.
2. How to calculate the LCM of 402, 709, 746, 167?
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, 709, 746, 167.
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}.