Given numbers are 984,476,816,918,731

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

The LCM of 984,476,816,918,731 is 90632304.

Find LCM of 984,476,816,918,731 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 41 x 7 x 2 x 9 x 43 = 90632304

Therefore, the lowest common multiple of 984,476,816,918,731 is 90632304.

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.

984 x 476 x 816 x 918 x 731 = 256479269501952

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,476,816,918,731, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

476:2x 2x 7x 17

816:2x 2x 2x 2x 3x 17

918:2x 3x 3x 3x 17

731:17x 43

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 17x 17x 17 = 2829888

Therefore, the value for common factors is 2829888.

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 = 256479269501952/(1x2829888)

LCM = 256479269501952/2829888

LCM = 90632304

Thus, we can understand that the LCM of 984,476,816,918,731 is 90632304.

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

• LCM of 509, 327, 145, 488, 205
• LCM of 804, 268, 283, 638, 255
• LCM of 712, 254, 711, 928, 359
• LCM of 421, 667, 101, 488, 907
• LCM of 944, 958, 541, 505, 130

1. What is the LCM of 984, 476, 816, 918, 731?

Answer: LCM of 984, 476, 816, 918, 731 is 90632304.

2. How to calculate the LCM of 984, 476, 816, 918, 731?

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 984, 476, 816, 918, 731.

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}.