Given numbers are 428,565,313,175

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

The LCM of 428,565,313,175 is 2649138100.

Find LCM of 428,565,313,175 with Prime Factorization

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

5 x 428 x 113 x 313 x 35 = 2649138100

Therefore, the lowest common multiple of 428,565,313,175 is 2649138100.

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 565 x 313 x 175 = 13245690500

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

565 : 1, 5, 113, 565

313 : 1, 313

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,565,313,175, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

565:5x 113

313:313

175:5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

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 = 13245690500/(1x5)

LCM = 13245690500/5

LCM = 2649138100

Thus, we can understand that the LCM of 428,565,313,175 is 2649138100.

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

• LCM of 118, 475, 659, 761
• LCM of 986, 674, 104, 601
• LCM of 264, 673, 160, 309
• LCM of 100, 926, 976, 261
• LCM of 209, 136, 262, 752

1. What is the LCM of 428, 565, 313, 175?

Answer: LCM of 428, 565, 313, 175 is 2649138100.

2. How to calculate the LCM of 428, 565, 313, 175?

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, 565, 313, 175.

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}.