Given numbers are 314,762,464,124

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

The LCM of 314,762,464,124 is 860407728.

Find LCM of 314,762,464,124 with Prime Factorization

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

2 x 2 x 157 x 381 x 116 x 31 = 860407728

Therefore, the lowest common multiple of 314,762,464,124 is 860407728.

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.

314 x 762 x 464 x 124 = 13766523648

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.

314 : 1, 2, 157, 314

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

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

124 : 1, 2, 4, 31, 62, 124

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,762,464,124, is 2.

Now, the common factors can be found like this.

314:2x 157

762:2x 3x 127

464:2x 2x 2x 2x 29

124:2x 2x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 13766523648/(2x8)

LCM = 13766523648/16

LCM = 860407728

Thus, we can understand that the LCM of 314,762,464,124 is 860407728.

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

• LCM of 524, 267, 883, 301
• LCM of 834, 814, 251, 275
• LCM of 109, 643, 930, 111
• LCM of 319, 753, 508, 930
• LCM of 392, 543, 628, 993

1. What is the LCM of 314, 762, 464, 124?

Answer: LCM of 314, 762, 464, 124 is 860407728.

2. How to calculate the LCM of 314, 762, 464, 124?

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 314, 762, 464, 124.

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}.