Given numbers are 327,438,506,677

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

The LCM of 327,438,506,677 is 8177297502.

Find LCM of 327,438,506,677 with Prime Factorization

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

2 x 3 x 109 x 73 x 253 x 677 = 8177297502

Therefore, the lowest common multiple of 327,438,506,677 is 8177297502.

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.

327 x 438 x 506 x 677 = 49063785012

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.

327 : 1, 3, 109, 327

438 : 1, 2, 3, 6, 73, 146, 219, 438

506 : 1, 2, 11, 22, 23, 46, 253, 506

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,438,506,677, is 1.

Now, the common factors can be found like this.

327:3x 109

438:2x 3x 73

506:2x 11x 23

677:677

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 = 49063785012/(1x6)

LCM = 49063785012/6

LCM = 8177297502

Thus, we can understand that the LCM of 327,438,506,677 is 8177297502.

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

• LCM of 178, 923, 445, 184
• LCM of 400, 162, 636, 401
• LCM of 344, 793, 942, 880
• LCM of 866, 422, 850, 125
• LCM of 787, 169, 676, 848

1. What is the LCM of 327, 438, 506, 677?

Answer: LCM of 327, 438, 506, 677 is 8177297502.

2. How to calculate the LCM of 327, 438, 506, 677?

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 327, 438, 506, 677.

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}.