Given numbers are 969,214,319,894

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

The LCM of 969,214,319,894 is 9856313346.

Find LCM of 969,214,319,894 with Prime Factorization

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

2 x 3 x 323 x 107 x 319 x 149 = 9856313346

Therefore, the lowest common multiple of 969,214,319,894 is 9856313346.

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.

969 x 214 x 319 x 894 = 59137880076

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

214 : 1, 2, 107, 214

319 : 1, 11, 29, 319

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,214,319,894, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

214:2x 107

319:11x 29

894:2x 3x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 59137880076/(1x6)

LCM = 59137880076/6

LCM = 9856313346

Thus, we can understand that the LCM of 969,214,319,894 is 9856313346.

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

• LCM of 669, 621, 795, 354
• LCM of 294, 519, 549, 100
• LCM of 292, 882, 465, 883
• LCM of 217, 153, 133, 755
• LCM of 640, 710, 330, 823

1. What is the LCM of 969, 214, 319, 894?

Answer: LCM of 969, 214, 319, 894 is 9856313346.

2. How to calculate the LCM of 969, 214, 319, 894?

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 969, 214, 319, 894.

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}.