Given numbers are 504,756,771,292

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

The LCM of 504,756,771,292 is 28366632.

Find LCM of 504,756,771,292 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 2 x 3 x 257 x 73 = 28366632

Therefore, the lowest common multiple of 504,756,771,292 is 28366632.

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.

504 x 756 x 771 x 292 = 85780695168

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

771 : 1, 3, 257, 771

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,756,771,292, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

756:2x 2x 3x 3x 3x 7

771:3x 257

292:2x 2x 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 2x 2x 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 85780695168/(1x3024)

LCM = 85780695168/3024

LCM = 28366632

Thus, we can understand that the LCM of 504,756,771,292 is 28366632.

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

• LCM of 848, 123, 331, 187
• LCM of 468, 289, 985, 997
• LCM of 492, 840, 384, 662
• LCM of 303, 604, 328, 428
• LCM of 764, 443, 250, 107

1. What is the LCM of 504, 756, 771, 292?

Answer: LCM of 504, 756, 771, 292 is 28366632.

2. How to calculate the LCM of 504, 756, 771, 292?

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 504, 756, 771, 292.

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}.