Given numbers are 489,141,718,974

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

The LCM of 489,141,718,974 is 8036373678.

Find LCM of 489,141,718,974 with Prime Factorization

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

2 x 3 x 163 x 47 x 359 x 487 = 8036373678

Therefore, the lowest common multiple of 489,141,718,974 is 8036373678.

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.

489 x 141 x 718 x 974 = 48218242068

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.

489 : 1, 3, 163, 489

141 : 1, 3, 47, 141

718 : 1, 2, 359, 718

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,141,718,974, is 1.

Now, the common factors can be found like this.

489:3x 163

141:3x 47

718:2x 359

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 3 = 6

Therefore, the value for common factors is 6.

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 = 48218242068/(1x6)

LCM = 48218242068/6

LCM = 8036373678

Thus, we can understand that the LCM of 489,141,718,974 is 8036373678.

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

• LCM of 759, 947, 443, 289
• LCM of 667, 926, 462, 518
• LCM of 959, 894, 772, 712
• LCM of 188, 696, 233, 184
• LCM of 597, 637, 930, 221

1. What is the LCM of 489, 141, 718, 974?

Answer: LCM of 489, 141, 718, 974 is 8036373678.

2. How to calculate the LCM of 489, 141, 718, 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 489, 141, 718, 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}.