Given numbers are 840,128,107,120,182

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

The LCM of 840,128,107,120,182 is 18695040.

Find LCM of 840,128,107,120,182 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 1 x 16 x 107 x 1 x 13 = 18695040

Therefore, the lowest common multiple of 840,128,107,120,182 is 18695040.

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.

840 x 128 x 107 x 120 x 182 = 251261337600

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

128 : 1, 2, 4, 8, 16, 32, 64, 128

107 : 1, 107

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,128,107,120,182, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

128:2x 2x 2x 2x 2x 2x 2

107:107

120:2x 2x 2x 3x 5

182:2x 7x 13

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 2x 3x 5x 7 = 13440

Therefore, the value for common factors is 13440.

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 = 251261337600/(1x13440)

LCM = 251261337600/13440

LCM = 18695040

Thus, we can understand that the LCM of 840,128,107,120,182 is 18695040.

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

• LCM of 778, 913, 268, 745, 183
• LCM of 541, 948, 713, 852, 301
• LCM of 111, 435, 221, 247, 569
• LCM of 558, 562, 267, 263, 125
• LCM of 760, 986, 890, 160, 663

1. What is the LCM of 840, 128, 107, 120, 182?

Answer: LCM of 840, 128, 107, 120, 182 is 18695040.

2. How to calculate the LCM of 840, 128, 107, 120, 182?

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 840, 128, 107, 120, 182.

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}.