Given numbers are 264,690,466,438

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

The LCM of 264,690,466,438 is 516393240.

Find LCM of 264,690,466,438 with Prime Factorization

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

2 x 3 x 44 x 115 x 233 x 73 = 516393240

Therefore, the lowest common multiple of 264,690,466,438 is 516393240.

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.

264 x 690 x 466 x 438 = 37180313280

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.

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

466 : 1, 2, 233, 466

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 264,690,466,438, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

690:2x 3x 5x 23

466:2x 233

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.

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 37180313280/(2x36)

LCM = 37180313280/72

LCM = 516393240

Thus, we can understand that the LCM of 264,690,466,438 is 516393240.

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

• LCM of 744, 172, 505, 826
• LCM of 971, 408, 881, 588
• LCM of 790, 901, 969, 568
• LCM of 684, 829, 656, 524
• LCM of 222, 802, 262, 367

1. What is the LCM of 264, 690, 466, 438?

Answer: LCM of 264, 690, 466, 438 is 516393240.

2. How to calculate the LCM of 264, 690, 466, 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 264, 690, 466, 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}.