Given numbers are 464,722,762,146

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

The LCM of 464,722,762,146 is 4658788752.

Find LCM of 464,722,762,146 with Prime Factorization

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

2 x 232 x 361 x 381 x 73 = 4658788752

Therefore, the lowest common multiple of 464,722,762,146 is 4658788752.

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.

464 x 722 x 762 x 146 = 37270310016

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

722 : 1, 2, 19, 38, 361, 722

762 : 1, 2, 3, 6, 127, 254, 381, 762

146 : 1, 2, 73, 146

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,722,762,146, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

722:2x 19x 19

762:2x 3x 127

146:2x 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 = 37270310016/(2x4)

LCM = 37270310016/8

LCM = 4658788752

Thus, we can understand that the LCM of 464,722,762,146 is 4658788752.

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

• LCM of 221, 349, 254, 270
• LCM of 697, 923, 911, 634
• LCM of 859, 945, 248, 597
• LCM of 468, 773, 347, 889
• LCM of 152, 693, 766, 905

1. What is the LCM of 464, 722, 762, 146?

Answer: LCM of 464, 722, 762, 146 is 4658788752.

2. How to calculate the LCM of 464, 722, 762, 146?

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 464, 722, 762, 146.

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}.