Find the LCM of 739, 396, 924, 286 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 739, 396, 924, 286. So, keep reading to learn more.
Given numbers are 739,396,924,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,396,924,286 is 26630604.
Find LCM of 739,396,924,286 with Prime Factorization
2 | 739, 396, 924, 286 |
2 | 739, 198, 462, 143 |
3 | 739, 99, 231, 143 |
11 | 739, 33, 77, 143 |
739, 3, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 739 x 3 x 7 x 13 = 26630604
Therefore, the lowest common multiple of 739,396,924,286 is 26630604.
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.
739 x 396 x 924 x 286 = 77335274016
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.
739 : 1, 739
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,396,924,286, is 1.
Now, the common factors can be found like this.
739:739
396:2x 2x 3x 3x 11
924:2x 2x 3x 7x 11
286:2x 11x 13
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 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 77335274016/(1x2904)
LCM = 77335274016/2904
LCM = 26630604
Thus, we can understand that the LCM of 739,396,924,286 is 26630604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 396, 924, 286?
Answer: LCM of 739, 396, 924, 286 is 26630604.
2. How to calculate the LCM of 739, 396, 924, 286?
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 739, 396, 924, 286.
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}.