Given numbers are 918,164,700,922,107

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

The LCM of 918,164,700,922,107 is 649799369100.

Find LCM of 918,164,700,922,107 with Prime Factorization

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

2 x 2 x 459 x 41 x 175 x 461 x 107 = 649799369100

Therefore, the lowest common multiple of 918,164,700,922,107 is 649799369100.

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.

918 x 164 x 700 x 922 x 107 = 10396789905600

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.

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

164 : 1, 2, 4, 41, 82, 164

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

922 : 1, 2, 461, 922

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,164,700,922,107, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

164:2x 2x 41

700:2x 2x 5x 5x 7

922:2x 461

107:107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 10396789905600/(1x16)

LCM = 10396789905600/16

LCM = 649799369100

Thus, we can understand that the LCM of 918,164,700,922,107 is 649799369100.

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

• LCM of 614, 643, 515, 758, 551
• LCM of 923, 980, 126, 331, 304
• LCM of 822, 863, 254, 848, 150
• LCM of 396, 529, 927, 168, 701
• LCM of 636, 113, 244, 540, 989

1. What is the LCM of 918, 164, 700, 922, 107?

Answer: LCM of 918, 164, 700, 922, 107 is 649799369100.

2. How to calculate the LCM of 918, 164, 700, 922, 107?

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 918, 164, 700, 922, 107.

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}.