Given numbers are 402,972,132,473,167

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

The LCM of 402,972,132,473,167 is 5144209884.

Find LCM of 402,972,132,473,167 with Prime Factorization

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

2 x 2 x 3 x 11 x 67 x 81 x 1 x 43 x 167 = 5144209884

Therefore, the lowest common multiple of 402,972,132,473,167 is 5144209884.

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.

402 x 972 x 132 x 473 x 167 = 4074214228128

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

473 : 1, 11, 43, 473

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,972,132,473,167, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

972:2x 2x 3x 3x 3x 3x 3

132:2x 2x 3x 11

473:11x 43

167:167

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 4074214228128/(1x792)

LCM = 4074214228128/792

LCM = 5144209884

Thus, we can understand that the LCM of 402,972,132,473,167 is 5144209884.

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

• LCM of 860, 502, 280, 268, 443
• LCM of 931, 100, 470, 959, 238
• LCM of 998, 841, 108, 694, 321
• LCM of 787, 338, 961, 285, 666
• LCM of 240, 154, 716, 190, 169

1. What is the LCM of 402, 972, 132, 473, 167?

Answer: LCM of 402, 972, 132, 473, 167 is 5144209884.

2. How to calculate the LCM of 402, 972, 132, 473, 167?

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 402, 972, 132, 473, 167.

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}.