Given numbers are 895,201,746,268

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

The LCM of 895,201,746,268 is 268403340.

Find LCM of 895,201,746,268 with Prime Factorization

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

2 x 67 x 895 x 3 x 373 x 2 = 268403340

Therefore, the lowest common multiple of 895,201,746,268 is 268403340.

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.

895 x 201 x 746 x 268 = 35966047560

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.

895 : 1, 5, 179, 895

201 : 1, 3, 67, 201

746 : 1, 2, 373, 746

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,201,746,268, is 1.

Now, the common factors can be found like this.

895:5x 179

201:3x 67

746:2x 373

268:2x 2x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 35966047560/(1x134)

LCM = 35966047560/134

LCM = 268403340

Thus, we can understand that the LCM of 895,201,746,268 is 268403340.

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

• LCM of 682, 406, 893, 400
• LCM of 477, 394, 903, 265
• LCM of 293, 605, 627, 752
• LCM of 184, 794, 476, 270
• LCM of 968, 486, 840, 523

1. What is the LCM of 895, 201, 746, 268?

Answer: LCM of 895, 201, 746, 268 is 268403340.

2. How to calculate the LCM of 895, 201, 746, 268?

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 895, 201, 746, 268.

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}.