Given numbers are 314,524,393,725

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

The LCM of 314,524,393,725 is 178932900.

Find LCM of 314,524,393,725 with Prime Factorization

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

2 x 131 x 157 x 2 x 3 x 725 = 178932900

Therefore, the lowest common multiple of 314,524,393,725 is 178932900.

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 524 x 393 x 725 = 46880419800

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

524 : 1, 2, 4, 131, 262, 524

393 : 1, 3, 131, 393

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,524,393,725, is 1.

Now, the common factors can be found like this.

314:2x 157

524:2x 2x 131

393:3x 131

725:5x 5x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 131 = 262

Therefore, the value for common factors is 262.

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 = 46880419800/(1x262)

LCM = 46880419800/262

LCM = 178932900

Thus, we can understand that the LCM of 314,524,393,725 is 178932900.

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

• LCM of 278, 628, 981, 939
• LCM of 422, 546, 989, 963
• LCM of 419, 435, 316, 700
• LCM of 270, 216, 372, 697
• LCM of 865, 983, 148, 594

1. What is the LCM of 314, 524, 393, 725?

Answer: LCM of 314, 524, 393, 725 is 178932900.

2. How to calculate the LCM of 314, 524, 393, 725?

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, 524, 393, 725.

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}.