Given numbers are 679,719,705,208,711

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

The LCM of 679,719,705,208,711 is 16966781329680.

Find LCM of 679,719,705,208,711 with Prime Factorization

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

3 x 679 x 719 x 235 x 208 x 237 = 16966781329680

Therefore, the lowest common multiple of 679,719,705,208,711 is 16966781329680.

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.

679 x 719 x 705 x 208 x 711 = 50900343989040

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.

679 : 1, 7, 97, 679

719 : 1, 719

705 : 1, 3, 5, 15, 47, 141, 235, 705

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,719,705,208,711, is 1.

Now, the common factors can be found like this.

679:7x 97

719:719

705:3x 5x 47

208:2x 2x 2x 2x 13

711:3x 3x 79

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

3 = 3

Therefore, the value for common factors is 3.

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 = 50900343989040/(1x3)

LCM = 50900343989040/3

LCM = 16966781329680

Thus, we can understand that the LCM of 679,719,705,208,711 is 16966781329680.

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

• LCM of 799, 183, 863, 780, 924
• LCM of 848, 161, 447, 655, 653
• LCM of 875, 154, 702, 535, 909
• LCM of 420, 858, 300, 210, 246
• LCM of 307, 314, 139, 918, 613

1. What is the LCM of 679, 719, 705, 208, 711?

Answer: LCM of 679, 719, 705, 208, 711 is 16966781329680.

2. How to calculate the LCM of 679, 719, 705, 208, 711?

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 679, 719, 705, 208, 711.

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}.