Given numbers are 369,838,114,974

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 369,838,114,974 is 2861231166.

Find LCM of 369,838,114,974 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 123 x 419 x 19 x 487 = 2861231166

Therefore, the lowest common multiple of 369,838,114,974 is 2861231166.

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.

369 x 838 x 114 x 974 = 34334773992

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.

369 : 1, 3, 9, 41, 123, 369

838 : 1, 2, 419, 838

114 : 1, 2, 3, 6, 19, 38, 57, 114

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,838,114,974, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

838:2x 419

114:2x 3x 19

974:2x 487

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34334773992/(1x12)

LCM = 34334773992/12

LCM = 2861231166

Thus, we can understand that the LCM of 369,838,114,974 is 2861231166.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 145, 479, 613, 157
• LCM of 708, 367, 181, 740
• LCM of 359, 887, 920, 886
• LCM of 898, 123, 222, 680
• LCM of 671, 755, 813, 159

1. What is the LCM of 369, 838, 114, 974?

Answer: LCM of 369, 838, 114, 974 is 2861231166.

2. How to calculate the LCM of 369, 838, 114, 974?

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 369, 838, 114, 974.

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}.