Given numbers are 420,748,136,731

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

The LCM of 420,748,136,731 is 6754440.

Find LCM of 420,748,136,731 with Prime Factorization

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

2 x 2 x 17 x 105 x 11 x 2 x 43 = 6754440

Therefore, the lowest common multiple of 420,748,136,731 is 6754440.

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.

420 x 748 x 136 x 731 = 31232530560

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

136 : 1, 2, 4, 8, 17, 34, 68, 136

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,748,136,731, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

748:2x 2x 11x 17

136:2x 2x 2x 17

731:17x 43

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 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 31232530560/(1x4624)

LCM = 31232530560/4624

LCM = 6754440

Thus, we can understand that the LCM of 420,748,136,731 is 6754440.

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

• LCM of 963, 443, 493, 640
• LCM of 862, 806, 501, 370
• LCM of 276, 812, 630, 206
• LCM of 660, 932, 308, 700
• LCM of 354, 990, 407, 629

1. What is the LCM of 420, 748, 136, 731?

Answer: LCM of 420, 748, 136, 731 is 6754440.

2. How to calculate the LCM of 420, 748, 136, 731?

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 420, 748, 136, 731.

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}.