Given numbers are 428,170,958,281,438

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

The LCM of 428,170,958,281,438 is 1072379844780.

Find LCM of 428,170,958,281,438 with Prime Factorization

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

2 x 214 x 85 x 479 x 281 x 219 = 1072379844780

Therefore, the lowest common multiple of 428,170,958,281,438 is 1072379844780.

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 170 x 958 x 281 x 438 = 8579038758240

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

958 : 1, 2, 479, 958

281 : 1, 281

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,170,958,281,438, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

170:2x 5x 17

958:2x 479

281:281

438:2x 3x 73

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 = 8579038758240/(1x8)

LCM = 8579038758240/8

LCM = 1072379844780

Thus, we can understand that the LCM of 428,170,958,281,438 is 1072379844780.

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

• LCM of 933, 496, 819, 521, 825
• LCM of 243, 969, 666, 811, 846
• LCM of 851, 207, 784, 227, 317
• LCM of 375, 607, 379, 145, 659
• LCM of 917, 579, 941, 382, 752

1. What is the LCM of 428, 170, 958, 281, 438?

Answer: LCM of 428, 170, 958, 281, 438 is 1072379844780.

2. How to calculate the LCM of 428, 170, 958, 281, 438?

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, 170, 958, 281, 438.

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}.