Find the LCM of 737, 201, 716, 656 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 737, 201, 716, 656. So, keep reading to learn more.
Given numbers are 737,201,716,656
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,201,716,656 is 259624464.
Find LCM of 737,201,716,656 with Prime Factorization
2 | 737, 201, 716, 656 |
2 | 737, 201, 358, 328 |
67 | 737, 201, 179, 164 |
11, 3, 179, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 11 x 3 x 179 x 164 = 259624464
Therefore, the lowest common multiple of 737,201,716,656 is 259624464.
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.
737 x 201 x 716 x 656 = 69579356352
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.
737 : 1, 11, 67, 737
201 : 1, 3, 67, 201
716 : 1, 2, 4, 179, 358, 716
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,201,716,656, is 1.
Now, the common factors can be found like this.
737:11x 67
201:3x 67
716:2x 2x 179
656:2x 2x 2x 2x 41
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 67 = 268
Therefore, the value for common factors is 268.
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 = 69579356352/(1x268)
LCM = 69579356352/268
LCM = 259624464
Thus, we can understand that the LCM of 737,201,716,656 is 259624464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 737, 201, 716, 656?
Answer: LCM of 737, 201, 716, 656 is 259624464.
2. How to calculate the LCM of 737, 201, 716, 656?
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 737, 201, 716, 656.
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}.