Given numbers are 708,178,214,274,596

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

The LCM of 708,178,214,274,596 is 137630243292.

Find LCM of 708,178,214,274,596 with Prime Factorization

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

2 x 2 x 177 x 89 x 107 x 137 x 149 = 137630243292

Therefore, the lowest common multiple of 708,178,214,274,596 is 137630243292.

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.

708 x 178 x 214 x 274 x 596 = 4404167785344

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

178 : 1, 2, 89, 178

214 : 1, 2, 107, 214

274 : 1, 2, 137, 274

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,178,214,274,596, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

178:2x 89

214:2x 107

274:2x 137

596:2x 2x 149

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4404167785344/(2x16)

LCM = 4404167785344/32

LCM = 137630243292

Thus, we can understand that the LCM of 708,178,214,274,596 is 137630243292.

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

• LCM of 191, 838, 479, 794, 330
• LCM of 767, 901, 818, 976, 559
• LCM of 462, 203, 237, 734, 336
• LCM of 375, 813, 644, 280, 330
• LCM of 997, 222, 727, 812, 325

1. What is the LCM of 708, 178, 214, 274, 596?

Answer: LCM of 708, 178, 214, 274, 596 is 137630243292.

2. How to calculate the LCM of 708, 178, 214, 274, 596?

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 708, 178, 214, 274, 596.

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}.