Given numbers are 400,69,748,163

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

The LCM of 400,69,748,163 is 841275600.

Find LCM of 400,69,748,163 with Prime Factorization

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

2 x 2 x 100 x 69 x 187 x 163 = 841275600

Therefore, the lowest common multiple of 400,69,748,163 is 841275600.

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.

400 x 69 x 748 x 163 = 3365102400

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

69 : 1, 3, 23, 69

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

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,69,748,163, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

69:3x 23

748:2x 2x 11x 17

163:163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3365102400/(1x4)

LCM = 3365102400/4

LCM = 841275600

Thus, we can understand that the LCM of 400,69,748,163 is 841275600.

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

• LCM of 743, 58, 568, 934
• LCM of 931, 87, 442, 718
• LCM of 884, 98, 633, 107
• LCM of 326, 28, 261, 342
• LCM of 722, 97, 992, 241

1. What is the LCM of 400, 69, 748, 163?

Answer: LCM of 400, 69, 748, 163 is 841275600.

2. How to calculate the LCM of 400, 69, 748, 163?

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 400, 69, 748, 163.

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}.