Given numbers are 460,715,746,381

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

The LCM of 460,715,746,381 is 9348193140.

Find LCM of 460,715,746,381 with Prime Factorization

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

2 x 5 x 46 x 143 x 373 x 381 = 9348193140

Therefore, the lowest common multiple of 460,715,746,381 is 9348193140.

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.

460 x 715 x 746 x 381 = 93481931400

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.

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

746 : 1, 2, 373, 746

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,715,746,381, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

715:5x 11x 13

746:2x 373

381:3x 127

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 = 93481931400/(1x10)

LCM = 93481931400/10

LCM = 9348193140

Thus, we can understand that the LCM of 460,715,746,381 is 9348193140.

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

• LCM of 145, 954, 391, 407
• LCM of 350, 268, 572, 904
• LCM of 107, 758, 879, 656
• LCM of 774, 362, 142, 414
• LCM of 785, 446, 773, 661

1. What is the LCM of 460, 715, 746, 381?

Answer: LCM of 460, 715, 746, 381 is 9348193140.

2. How to calculate the LCM of 460, 715, 746, 381?

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 460, 715, 746, 381.

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}.