Find the LCM of 974, 994, 314, 273, 522 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 974, 994, 314, 273, 522. So, keep reading to learn more.
Given numbers are 974,994,314,273,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,994,314,273,522 is 257868834678.
Find LCM of 974,994,314,273,522 with Prime Factorization
2 | 974, 994, 314, 273, 522 |
3 | 487, 497, 157, 273, 261 |
7 | 487, 497, 157, 91, 87 |
487, 71, 157, 13, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 487 x 71 x 157 x 13 x 87 = 257868834678
Therefore, the lowest common multiple of 974,994,314,273,522 is 257868834678.
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.
974 x 994 x 314 x 273 x 522 = 43321964225904
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.
974 : 1, 2, 487, 974
994 : 1, 2, 7, 14, 71, 142, 497, 994
314 : 1, 2, 157, 314
273 : 1, 3, 7, 13, 21, 39, 91, 273
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,994,314,273,522, is 1.
Now, the common factors can be found like this.
974:2x 487
994:2x 7x 71
314:2x 157
273:3x 7x 13
522:2x 3x 3x 29
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 7 = 168
Therefore, the value for common factors is 168.
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 = 43321964225904/(1x168)
LCM = 43321964225904/168
LCM = 257868834678
Thus, we can understand that the LCM of 974,994,314,273,522 is 257868834678.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 974, 994, 314, 273, 522?
Answer: LCM of 974, 994, 314, 273, 522 is 257868834678.
2. How to calculate the LCM of 974, 994, 314, 273, 522?
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 974, 994, 314, 273, 522.
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}.