Given numbers are 504,326,209,292

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

The LCM of 504,326,209,292 is 1253393064.

Find LCM of 504,326,209,292 with Prime Factorization

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

2 x 2 x 126 x 163 x 209 x 73 = 1253393064

Therefore, the lowest common multiple of 504,326,209,292 is 1253393064.

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 326 x 209 x 292 = 10027144512

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

326 : 1, 2, 163, 326

209 : 1, 11, 19, 209

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 504,326,209,292, is 1.

Now, the common factors can be found like this.

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

326:2x 163

209:11x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10027144512/(1x8)

LCM = 10027144512/8

LCM = 1253393064

Thus, we can understand that the LCM of 504,326,209,292 is 1253393064.

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

• LCM of 102, 762, 993, 509
• LCM of 607, 164, 401, 419
• LCM of 943, 717, 120, 405
• LCM of 615, 898, 123, 622
• LCM of 184, 627, 941, 126

1. What is the LCM of 504, 326, 209, 292?

Answer: LCM of 504, 326, 209, 292 is 1253393064.

2. How to calculate the LCM of 504, 326, 209, 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, 326, 209, 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}.