Given numbers are 314,572,438

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

The LCM of 314,572,438 is 19667076.

Find LCM of 314,572,438 with Prime Factorization

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

2 x 157 x 286 x 219 = 19667076

Therefore, the lowest common multiple of 314,572,438 is 19667076.

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 572 x 438 = 78668304

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

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,572,438, is 2.

Now, the common factors can be found like this.

314:2x 157

572:2x 2x 11x 13

438:2x 3x 73

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

2 = 2

Therefore, the value for common factors is 2.

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 = 78668304/(2x2)

LCM = 78668304/4

LCM = 19667076

Thus, we can understand that the LCM of 314,572,438 is 19667076.

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

• LCM of 411, 950, 433
• LCM of 257, 710, 499
• LCM of 297, 938, 755
• LCM of 875, 426, 240
• LCM of 689, 706, 466

1. What is the LCM of 314, 572, 438?

Answer: LCM of 314, 572, 438 is 19667076.

2. How to calculate the LCM of 314, 572, 438?

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, 572, 438.

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}.