Given numbers are 738,492,214,528

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

The LCM of 738,492,214,528 is 6949008.

Find LCM of 738,492,214,528 with Prime Factorization

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

2 x 2 x 3 x 41 x 1 x 3 x 107 x 44 = 6949008

Therefore, the lowest common multiple of 738,492,214,528 is 6949008.

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.

738 x 492 x 214 x 528 = 41026943232

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.

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

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

214 : 1, 2, 107, 214

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,492,214,528, is 2.

Now, the common factors can be found like this.

738:2x 3x 3x 41

492:2x 2x 3x 41

214:2x 107

528:2x 2x 2x 2x 3x 11

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 3x 3x 41 = 2952

Therefore, the value for common factors is 2952.

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 = 41026943232/(2x2952)

LCM = 41026943232/5904

LCM = 6949008

Thus, we can understand that the LCM of 738,492,214,528 is 6949008.

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

• LCM of 428, 666, 647, 682
• LCM of 625, 841, 597, 651
• LCM of 128, 708, 186, 303
• LCM of 980, 384, 836, 866
• LCM of 947, 319, 263, 208

1. What is the LCM of 738, 492, 214, 528?

Answer: LCM of 738, 492, 214, 528 is 6949008.

2. How to calculate the LCM of 738, 492, 214, 528?

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 738, 492, 214, 528.

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}.