Find the LCM of 866, 736, 974, 400, 254 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 866, 736, 974, 400, 254. So, keep reading to learn more.
Given numbers are 866,736,974,400,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,736,974,400,254 is 492763352800.
Find LCM of 866,736,974,400,254 with Prime Factorization
2 | 866, 736, 974, 400, 254 |
2 | 433, 368, 487, 200, 127 |
2 | 433, 184, 487, 100, 127 |
2 | 433, 92, 487, 50, 127 |
433, 46, 487, 25, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 433 x 46 x 487 x 25 x 127 = 492763352800
Therefore, the lowest common multiple of 866,736,974,400,254 is 492763352800.
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.
866 x 736 x 974 x 400 x 254 = 63073709158400
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.
866 : 1, 2, 433, 866
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
974 : 1, 2, 487, 974
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
254 : 1, 2, 127, 254
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,736,974,400,254, is 2.
Now, the common factors can be found like this.
866:2x 433
736:2x 2x 2x 2x 2x 23
974:2x 487
400:2x 2x 2x 2x 5x 5
254:2x 127
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 63073709158400/(2x64)
LCM = 63073709158400/128
LCM = 492763352800
Thus, we can understand that the LCM of 866,736,974,400,254 is 492763352800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 736, 974, 400, 254?
Answer: LCM of 866, 736, 974, 400, 254 is 492763352800.
2. How to calculate the LCM of 866, 736, 974, 400, 254?
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 866, 736, 974, 400, 254.
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}.