Given numbers are 230,749,212,492,738

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

The LCM of 230,749,212,492,738 is 6738168780.

Find LCM of 230,749,212,492,738 with Prime Factorization

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

2 x 2 x 3 x 41 x 115 x 749 x 53 x 1 x 3 = 6738168780

Therefore, the lowest common multiple of 230,749,212,492,738 is 6738168780.

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 749 x 212 x 492 x 738 = 13260716159040

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

749 : 1, 7, 107, 749

212 : 1, 2, 4, 53, 106, 212

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,749,212,492,738, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

749:7x 107

212:2x 2x 53

492:2x 2x 3x 41

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.

2x 2x 2x 2x 3x 41 = 1968

Therefore, the value for common factors is 1968.

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 = 13260716159040/(1x1968)

LCM = 13260716159040/1968

LCM = 6738168780

Thus, we can understand that the LCM of 230,749,212,492,738 is 6738168780.

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

• LCM of 411, 220, 650, 429, 314
• LCM of 733, 398, 178, 131, 492
• LCM of 367, 344, 386, 363, 156
• LCM of 953, 485, 509, 547, 848
• LCM of 974, 158, 194, 974, 602

1. What is the LCM of 230, 749, 212, 492, 738?

Answer: LCM of 230, 749, 212, 492, 738 is 6738168780.

2. How to calculate the LCM of 230, 749, 212, 492, 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, 749, 212, 492, 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}.