Given numbers are 196,102,183,128,153

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

The LCM of 196,102,183,128,153 is 58536576.

Find LCM of 196,102,183,128,153 with Prime Factorization

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

2 x 2 x 3 x 17 x 49 x 1 x 61 x 32 x 3 = 58536576

Therefore, the lowest common multiple of 196,102,183,128,153 is 58536576.

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.

196 x 102 x 183 x 128 x 153 = 71648769024

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.

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

102 : 1, 2, 3, 6, 17, 34, 51, 102

183 : 1, 3, 61, 183

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

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,102,183,128,153, is 1.

Now, the common factors can be found like this.

196:2x 2x 7x 7

102:2x 3x 17

183:3x 61

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

153:3x 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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 71648769024/(1x1224)

LCM = 71648769024/1224

LCM = 58536576

Thus, we can understand that the LCM of 196,102,183,128,153 is 58536576.

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

• LCM of 533, 564, 337, 993, 603
• LCM of 811, 973, 479, 821, 159
• LCM of 752, 885, 794, 204, 270
• LCM of 871, 505, 679, 671, 176
• LCM of 137, 316, 391, 744, 722

1. What is the LCM of 196, 102, 183, 128, 153?

Answer: LCM of 196, 102, 183, 128, 153 is 58536576.

2. How to calculate the LCM of 196, 102, 183, 128, 153?

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 196, 102, 183, 128, 153.

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}.