Given numbers are 428,70,895

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

The LCM of 428,70,895 is 2681420.

Find LCM of 428,70,895 with Prime Factorization

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

2 x 5 x 214 x 7 x 179 = 2681420

Therefore, the lowest common multiple of 428,70,895 is 2681420.

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 70 x 895 = 26814200

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

70 : 1, 2, 5, 7, 10, 14, 35, 70

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,70,895, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

70:2x 5x 7

895:5x 179

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 26814200/(1x10)

LCM = 26814200/10

LCM = 2681420

Thus, we can understand that the LCM of 428,70,895 is 2681420.

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

• LCM of 432, 26, 164
• LCM of 792, 38, 636
• LCM of 525, 75, 260
• LCM of 360, 50, 146
• LCM of 141, 43, 106

1. What is the LCM of 428, 70, 895?

Answer: LCM of 428, 70, 895 is 2681420.

2. How to calculate the LCM of 428, 70, 895?

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, 70, 895.

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}.