Find the LCM of 309, 974, 846, 957 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 309, 974, 846, 957. So, keep reading to learn more.
Given numbers are 309,974,846,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,974,846,957 is 13537149714.
Find LCM of 309,974,846,957 with Prime Factorization
2 | 309, 974, 846, 957 |
3 | 309, 487, 423, 957 |
103, 487, 141, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 487 x 141 x 319 = 13537149714
Therefore, the lowest common multiple of 309,974,846,957 is 13537149714.
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.
309 x 974 x 846 x 957 = 243668694852
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.
309 : 1, 3, 103, 309
974 : 1, 2, 487, 974
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,974,846,957, is 1.
Now, the common factors can be found like this.
309:3x 103
974:2x 487
846:2x 3x 3x 47
957:3x 11x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 243668694852/(1x18)
LCM = 243668694852/18
LCM = 13537149714
Thus, we can understand that the LCM of 309,974,846,957 is 13537149714.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 974, 846, 957?
Answer: LCM of 309, 974, 846, 957 is 13537149714.
2. How to calculate the LCM of 309, 974, 846, 957?
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 309, 974, 846, 957.
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}.