Given numbers are 746,121,247,460

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

The LCM of 746,121,247,460 is 5128011460.

Find LCM of 746,121,247,460 with Prime Factorization

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

2 x 373 x 121 x 247 x 230 = 5128011460

Therefore, the lowest common multiple of 746,121,247,460 is 5128011460.

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.

746 x 121 x 247 x 460 = 10256022920

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.

746 : 1, 2, 373, 746

121 : 1, 11, 121

247 : 1, 13, 19, 247

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,121,247,460, is 1.

Now, the common factors can be found like this.

746:2x 373

121:11x 11

247:13x 19

460:2x 2x 5x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10256022920/(1x2)

LCM = 10256022920/2

LCM = 5128011460

Thus, we can understand that the LCM of 746,121,247,460 is 5128011460.

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

• LCM of 780, 653, 286, 965
• LCM of 706, 998, 319, 700
• LCM of 287, 876, 100, 435
• LCM of 916, 254, 717, 838
• LCM of 465, 868, 371, 688

1. What is the LCM of 746, 121, 247, 460?

Answer: LCM of 746, 121, 247, 460 is 5128011460.

2. How to calculate the LCM of 746, 121, 247, 460?

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 746, 121, 247, 460.

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}.