Given numbers are 428,334,548,138

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

The LCM of 428,334,548,138 is 675662628.

Find LCM of 428,334,548,138 with Prime Factorization

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

2 x 2 x 107 x 167 x 137 x 69 = 675662628

Therefore, the lowest common multiple of 428,334,548,138 is 675662628.

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.

428 x 334 x 548 x 138 = 10810602048

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.

428 : 1, 2, 4, 107, 214, 428

334 : 1, 2, 167, 334

548 : 1, 2, 4, 137, 274, 548

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,334,548,138, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

334:2x 167

548:2x 2x 137

138:2x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10810602048/(2x8)

LCM = 10810602048/16

LCM = 675662628

Thus, we can understand that the LCM of 428,334,548,138 is 675662628.

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

• LCM of 492, 677, 160, 625
• LCM of 247, 485, 898, 495
• LCM of 453, 184, 792, 894
• LCM of 456, 813, 523, 972
• LCM of 569, 615, 544, 410

1. What is the LCM of 428, 334, 548, 138?

Answer: LCM of 428, 334, 548, 138 is 675662628.

2. How to calculate the LCM of 428, 334, 548, 138?

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 428, 334, 548, 138.

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}.