Given numbers are 706,131,214

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

The LCM of 706,131,214 is 9896002.

Find LCM of 706,131,214 with Prime Factorization

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

2 x 353 x 131 x 107 = 9896002

Therefore, the lowest common multiple of 706,131,214 is 9896002.

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.

706 x 131 x 214 = 19792004

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.

706 : 1, 2, 353, 706

131 : 1, 131

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,131,214, is 1.

Now, the common factors can be found like this.

706:2x 353

131:131

214:2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19792004/(1x2)

LCM = 19792004/2

LCM = 9896002

Thus, we can understand that the LCM of 706,131,214 is 9896002.

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

• LCM of 442, 471, 210
• LCM of 368, 660, 265
• LCM of 924, 989, 784
• LCM of 124, 677, 156
• LCM of 604, 372, 671

1. What is the LCM of 706, 131, 214?

Answer: LCM of 706, 131, 214 is 9896002.

2. How to calculate the LCM of 706, 131, 214?

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 706, 131, 214.

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}.