Given numbers are 434,128,266,516,302

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

The LCM of 434,128,266,516,302 is 10279925376.

Find LCM of 434,128,266,516,302 with Prime Factorization

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

2 x 2 x 7 x 31 x 32 x 19 x 129 x 151 = 10279925376

Therefore, the lowest common multiple of 434,128,266,516,302 is 10279925376.

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.

434 x 128 x 266 x 516 x 302 = 2302703284224

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

128 : 1, 2, 4, 8, 16, 32, 64, 128

266 : 1, 2, 7, 14, 19, 38, 133, 266

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,128,266,516,302, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

128:2x 2x 2x 2x 2x 2x 2

266:2x 7x 19

516:2x 2x 3x 43

302:2x 151

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 2302703284224/(2x112)

LCM = 2302703284224/224

LCM = 10279925376

Thus, we can understand that the LCM of 434,128,266,516,302 is 10279925376.

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

• LCM of 241, 893, 149, 818, 931
• LCM of 597, 981, 162, 986, 204
• LCM of 237, 968, 137, 662, 719
• LCM of 553, 495, 777, 911, 668
• LCM of 640, 868, 800, 191, 677

1. What is the LCM of 434, 128, 266, 516, 302?

Answer: LCM of 434, 128, 266, 516, 302 is 10279925376.

2. How to calculate the LCM of 434, 128, 266, 516, 302?

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 434, 128, 266, 516, 302.

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}.