Given numbers are 214,331,918,524

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

The LCM of 214,331,918,524 is 8518355172.

Find LCM of 214,331,918,524 with Prime Factorization

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

2 x 107 x 331 x 459 x 262 = 8518355172

Therefore, the lowest common multiple of 214,331,918,524 is 8518355172.

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.

214 x 331 x 918 x 524 = 34073420688

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.

214 : 1, 2, 107, 214

331 : 1, 331

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,331,918,524, is 1.

Now, the common factors can be found like this.

214:2x 107

331:331

918:2x 3x 3x 3x 17

524:2x 2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34073420688/(1x4)

LCM = 34073420688/4

LCM = 8518355172

Thus, we can understand that the LCM of 214,331,918,524 is 8518355172.

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

• LCM of 174, 473, 639, 218
• LCM of 596, 297, 236, 618
• LCM of 611, 689, 952, 825
• LCM of 270, 337, 410, 988
• LCM of 180, 466, 594, 289

1. What is the LCM of 214, 331, 918, 524?

Answer: LCM of 214, 331, 918, 524 is 8518355172.

2. How to calculate the LCM of 214, 331, 918, 524?

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 214, 331, 918, 524.

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}.