Given numbers are 487,118,120,871,166

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

The LCM of 487,118,120,871,166 is 249263372280.

Find LCM of 487,118,120,871,166 with Prime Factorization

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

2 x 487 x 59 x 60 x 871 x 83 = 249263372280

Therefore, the lowest common multiple of 487,118,120,871,166 is 249263372280.

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.

487 x 118 x 120 x 871 x 166 = 997053489120

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.

487 : 1, 487

118 : 1, 2, 59, 118

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

871 : 1, 13, 67, 871

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,118,120,871,166, is 1.

Now, the common factors can be found like this.

487:487

118:2x 59

120:2x 2x 2x 3x 5

871:13x 67

166:2x 83

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 = 997053489120/(1x4)

LCM = 997053489120/4

LCM = 249263372280

Thus, we can understand that the LCM of 487,118,120,871,166 is 249263372280.

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

• LCM of 136, 639, 339, 522, 904
• LCM of 994, 213, 309, 415, 826
• LCM of 576, 523, 680, 723, 276
• LCM of 846, 939, 562, 440, 466
• LCM of 425, 590, 425, 820, 708

1. What is the LCM of 487, 118, 120, 871, 166?

Answer: LCM of 487, 118, 120, 871, 166 is 249263372280.

2. How to calculate the LCM of 487, 118, 120, 871, 166?

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 487, 118, 120, 871, 166.

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}.