Given numbers are 428,708,134,177,636

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

The LCM of 428,708,134,177,636 is 269009556.

Find LCM of 428,708,134,177,636 with Prime Factorization

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

2 x 2 x 3 x 59 x 107 x 1 x 67 x 1 x 53 = 269009556

Therefore, the lowest common multiple of 428,708,134,177,636 is 269009556.

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.

428 x 708 x 134 x 177 x 636 = 4571010375552

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.

428 : 1, 2, 4, 107, 214, 428

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

134 : 1, 2, 67, 134

177 : 1, 3, 59, 177

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,708,134,177,636, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

708:2x 2x 3x 59

134:2x 67

177:3x 59

636:2x 2x 3x 53

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 2x 3x 3x 59 = 16992

Therefore, the value for common factors is 16992.

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 = 4571010375552/(1x16992)

LCM = 4571010375552/16992

LCM = 269009556

Thus, we can understand that the LCM of 428,708,134,177,636 is 269009556.

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

• LCM of 459, 419, 138, 818, 675
• LCM of 123, 269, 458, 720, 947
• LCM of 172, 709, 538, 396, 921
• LCM of 910, 106, 773, 609, 464
• LCM of 893, 598, 893, 457, 592

1. What is the LCM of 428, 708, 134, 177, 636?

Answer: LCM of 428, 708, 134, 177, 636 is 269009556.

2. How to calculate the LCM of 428, 708, 134, 177, 636?

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 428, 708, 134, 177, 636.

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}.