Given numbers are 309,279,269,372

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

The LCM of 309,279,269,372 is 30921012.

Find LCM of 309,279,269,372 with Prime Factorization

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

3 x 31 x 103 x 3 x 269 x 4 = 30921012

Therefore, the lowest common multiple of 309,279,269,372 is 30921012.

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.

309 x 279 x 269 x 372 = 8626962348

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.

309 : 1, 3, 103, 309

279 : 1, 3, 9, 31, 93, 279

269 : 1, 269

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,279,269,372, is 1.

Now, the common factors can be found like this.

309:3x 103

279:3x 3x 31

269:269

372:2x 2x 3x 31

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

3x 3x 31 = 279

Therefore, the value for common factors is 279.

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 = 8626962348/(1x279)

LCM = 8626962348/279

LCM = 30921012

Thus, we can understand that the LCM of 309,279,269,372 is 30921012.

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

• LCM of 979, 753, 550, 545
• LCM of 525, 861, 444, 267
• LCM of 243, 980, 827, 861
• LCM of 925, 405, 459, 118
• LCM of 643, 268, 526, 185

1. What is the LCM of 309, 279, 269, 372?

Answer: LCM of 309, 279, 269, 372 is 30921012.

2. How to calculate the LCM of 309, 279, 269, 372?

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 309, 279, 269, 372.

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}.