Find the LCM of 994, 348, 802, 435 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 994, 348, 802, 435. So, keep reading to learn more.
Given numbers are 994,348,802,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,348,802,435 is 346776780.
Find LCM of 994,348,802,435 with Prime Factorization
2 | 994, 348, 802, 435 |
3 | 497, 174, 401, 435 |
29 | 497, 58, 401, 145 |
497, 2, 401, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 497 x 2 x 401 x 5 = 346776780
Therefore, the lowest common multiple of 994,348,802,435 is 346776780.
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.
994 x 348 x 802 x 435 = 120678319440
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
802 : 1, 2, 401, 802
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,348,802,435, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
348:2x 2x 3x 29
802:2x 401
435:3x 5x 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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 120678319440/(1x348)
LCM = 120678319440/348
LCM = 346776780
Thus, we can understand that the LCM of 994,348,802,435 is 346776780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 994, 348, 802, 435?
Answer: LCM of 994, 348, 802, 435 is 346776780.
2. How to calculate the LCM of 994, 348, 802, 435?
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 994, 348, 802, 435.
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}.