Given numbers are 239,409,840,672

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

The LCM of 239,409,840,672 is 328443360.

Find LCM of 239,409,840,672 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 239 x 409 x 5 x 4 = 328443360

Therefore, the lowest common multiple of 239,409,840,672 is 328443360.

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.

239 x 409 x 840 x 672 = 55178484480

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.

239 : 1, 239

409 : 1, 409

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,409,840,672, is 1.

Now, the common factors can be found like this.

239:239

409:409

840:2x 2x 2x 3x 5x 7

672:2x 2x 2x 2x 2x 3x 7

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 55178484480/(1x168)

LCM = 55178484480/168

LCM = 328443360

Thus, we can understand that the LCM of 239,409,840,672 is 328443360.

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

• LCM of 114, 562, 217, 282
• LCM of 619, 390, 600, 135
• LCM of 655, 973, 564, 108
• LCM of 546, 692, 164, 755
• LCM of 195, 945, 654, 804

1. What is the LCM of 239, 409, 840, 672?

Answer: LCM of 239, 409, 840, 672 is 328443360.

2. How to calculate the LCM of 239, 409, 840, 672?

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 239, 409, 840, 672.

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}.