Given numbers are 460,956,634,414,126

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

The LCM of 460,956,634,414,126 is 2195611740.

Find LCM of 460,956,634,414,126 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 5 x 239 x 317 x 1 x 7 = 2195611740

Therefore, the lowest common multiple of 460,956,634,414,126 is 2195611740.

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 956 x 634 x 414 x 126 = 14543732165760

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

956 : 1, 2, 4, 239, 478, 956

634 : 1, 2, 317, 634

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,956,634,414,126, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

956:2x 2x 239

634:2x 317

414:2x 3x 3x 23

126:2x 3x 3x 7

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 2x 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 14543732165760/(2x3312)

LCM = 14543732165760/6624

LCM = 2195611740

Thus, we can understand that the LCM of 460,956,634,414,126 is 2195611740.

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

• LCM of 637, 789, 931, 205, 308
• LCM of 547, 306, 734, 228, 640
• LCM of 216, 313, 385, 425, 920
• LCM of 867, 130, 697, 211, 769
• LCM of 310, 661, 535, 242, 971

1. What is the LCM of 460, 956, 634, 414, 126?

Answer: LCM of 460, 956, 634, 414, 126 is 2195611740.

2. How to calculate the LCM of 460, 956, 634, 414, 126?

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, 956, 634, 414, 126.

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}.