Given numbers are 496,526,114,73

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

The LCM of 496,526,114,73 is 542794128.

Find LCM of 496,526,114,73 with Prime Factorization

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

2 x 248 x 263 x 57 x 73 = 542794128

Therefore, the lowest common multiple of 496,526,114,73 is 542794128.

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.

496 x 526 x 114 x 73 = 2171176512

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

526 : 1, 2, 263, 526

114 : 1, 2, 3, 6, 19, 38, 57, 114

73 : 1, 73

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,526,114,73, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

526:2x 263

114:2x 3x 19

73:73

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 = 2171176512/(1x4)

LCM = 2171176512/4

LCM = 542794128

Thus, we can understand that the LCM of 496,526,114,73 is 542794128.

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

• LCM of 536, 103, 795, 45
• LCM of 866, 515, 604, 97
• LCM of 943, 386, 694, 89
• LCM of 851, 861, 447, 35
• LCM of 391, 202, 290, 21

1. What is the LCM of 496, 526, 114, 73?

Answer: LCM of 496, 526, 114, 73 is 542794128.

2. How to calculate the LCM of 496, 526, 114, 73?

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 496, 526, 114, 73.

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}.