Given numbers are 296,164,102,242

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

The LCM of 296,164,102,242 is 74891256.

Find LCM of 296,164,102,242 with Prime Factorization

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

2 x 2 x 74 x 41 x 51 x 121 = 74891256

Therefore, the lowest common multiple of 296,164,102,242 is 74891256.

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.

296 x 164 x 102 x 242 = 1198260096

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

164 : 1, 2, 4, 41, 82, 164

102 : 1, 2, 3, 6, 17, 34, 51, 102

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,164,102,242, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

164:2x 2x 41

102:2x 3x 17

242:2x 11x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1198260096/(2x8)

LCM = 1198260096/16

LCM = 74891256

Thus, we can understand that the LCM of 296,164,102,242 is 74891256.

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

• LCM of 643, 931, 373, 588
• LCM of 566, 167, 947, 532
• LCM of 637, 919, 380, 593
• LCM of 828, 816, 452, 742
• LCM of 194, 180, 725, 695

1. What is the LCM of 296, 164, 102, 242?

Answer: LCM of 296, 164, 102, 242 is 74891256.

2. How to calculate the LCM of 296, 164, 102, 242?

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 296, 164, 102, 242.

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}.