Given numbers are 702,182,409,214

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

The LCM of 702,182,409,214 is 215051382.

Find LCM of 702,182,409,214 with Prime Factorization

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

2 x 13 x 27 x 7 x 409 x 107 = 215051382

Therefore, the lowest common multiple of 702,182,409,214 is 215051382.

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.

702 x 182 x 409 x 214 = 11182671864

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

182 : 1, 2, 7, 13, 14, 26, 91, 182

409 : 1, 409

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,182,409,214, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

182:2x 7x 13

409:409

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.

2x 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 11182671864/(1x52)

LCM = 11182671864/52

LCM = 215051382

Thus, we can understand that the LCM of 702,182,409,214 is 215051382.

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

• LCM of 412, 164, 315, 523
• LCM of 579, 570, 383, 403
• LCM of 539, 907, 590, 532
• LCM of 470, 736, 194, 968
• LCM of 998, 345, 411, 725

1. What is the LCM of 702, 182, 409, 214?

Answer: LCM of 702, 182, 409, 214 is 215051382.

2. How to calculate the LCM of 702, 182, 409, 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 702, 182, 409, 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}.