Given numbers are 230,746,738

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

The LCM of 230,746,738 is 31656510.

Find LCM of 230,746,738 with Prime Factorization

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

2 x 115 x 373 x 369 = 31656510

Therefore, the lowest common multiple of 230,746,738 is 31656510.

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.

230 x 746 x 738 = 126626040

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

746 : 1, 2, 373, 746

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,746,738, is 2.

Now, the common factors can be found like this.

230:2x 5x 23

746:2x 373

738:2x 3x 3x 41

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 = 126626040/(2x2)

LCM = 126626040/4

LCM = 31656510

Thus, we can understand that the LCM of 230,746,738 is 31656510.

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

• LCM of 436, 401, 197
• LCM of 598, 461, 677
• LCM of 835, 550, 718
• LCM of 690, 341, 148
• LCM of 225, 491, 575

1. What is the LCM of 230, 746, 738?

Answer: LCM of 230, 746, 738 is 31656510.

2. How to calculate the LCM of 230, 746, 738?

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 230, 746, 738.

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}.