Given numbers are 460,207,976,456,918

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

The LCM of 460,207,976,456,918 is 978845040.

Find LCM of 460,207,976,456,918 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 23 x 5 x 1 x 122 x 19 x 51 = 978845040

Therefore, the lowest common multiple of 460,207,976,456,918 is 978845040.

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 207 x 976 x 456 x 918 = 38903217269760

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

207 : 1, 3, 9, 23, 69, 207

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,207,976,456,918, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

207:3x 3x 23

976:2x 2x 2x 2x 61

456:2x 2x 2x 3x 19

918:2x 3x 3x 3x 17

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 2x 2x 3x 3x 3x 23 = 39744

Therefore, the value for common factors is 39744.

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 = 38903217269760/(1x39744)

LCM = 38903217269760/39744

LCM = 978845040

Thus, we can understand that the LCM of 460,207,976,456,918 is 978845040.

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

• LCM of 118, 810, 185, 544, 209
• LCM of 284, 840, 650, 533, 802
• LCM of 637, 707, 504, 120, 836
• LCM of 495, 902, 751, 369, 333
• LCM of 916, 760, 519, 947, 375

1. What is the LCM of 460, 207, 976, 456, 918?

Answer: LCM of 460, 207, 976, 456, 918 is 978845040.

2. How to calculate the LCM of 460, 207, 976, 456, 918?

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, 207, 976, 456, 918.

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}.