Given numbers are 460,128,192,674,685

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

The LCM of 460,128,192,674,685 is 2038823040.

Find LCM of 460,128,192,674,685 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 5 x 23 x 2 x 3 x 337 x 137 = 2038823040

Therefore, the lowest common multiple of 460,128,192,674,685 is 2038823040.

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.

460 x 128 x 192 x 674 x 685 = 5219386982400

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

128 : 1, 2, 4, 8, 16, 32, 64, 128

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

674 : 1, 2, 337, 674

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,128,192,674,685, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

128:2x 2x 2x 2x 2x 2x 2

192:2x 2x 2x 2x 2x 2x 3

674:2x 337

685:5x 137

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 2x 2x 2x 2x 2x 2x 2x 5 = 2560

Therefore, the value for common factors is 2560.

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 = 5219386982400/(1x2560)

LCM = 5219386982400/2560

LCM = 2038823040

Thus, we can understand that the LCM of 460,128,192,674,685 is 2038823040.

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

• LCM of 929, 780, 461, 810, 737
• LCM of 659, 244, 662, 581, 489
• LCM of 696, 174, 706, 876, 851
• LCM of 965, 327, 492, 898, 270
• LCM of 244, 161, 596, 303, 738

1. What is the LCM of 460, 128, 192, 674, 685?

Answer: LCM of 460, 128, 192, 674, 685 is 2038823040.

2. How to calculate the LCM of 460, 128, 192, 674, 685?

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 460, 128, 192, 674, 685.

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}.