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LCM of 123, 451, 704, 762, 208

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 123, 451, 704, 762, 208 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 123, 451, 704, 762, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 123,451,704,762,208

Given numbers are 123,451,704,762,208

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

The LCM of 123,451,704,762,208 is 142963392.

Find LCM of 123,451,704,762,208 with Prime Factorization


2 123, 451, 704, 762, 208
2 123, 451, 352, 381, 104
2 123, 451, 176, 381, 52
2 123, 451, 88, 381, 26
3 123, 451, 44, 381, 13
11 41, 451, 44, 127, 13
41 41, 41, 4, 127, 13
1, 1, 4, 127, 13

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

2 x 2 x 2 x 2 x 3 x 11 x 41 x 1 x 1 x 4 x 127 x 13 = 142963392

Therefore, the lowest common multiple of 123,451,704,762,208 is 142963392.

LCM Formula to Find Lowest Common Multiple of 123,451,704,762,208

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.

123 x 451 x 704 x 762 x 208 = 6189743020032

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.

123 : 1, 3, 41, 123

451 : 1, 11, 41, 451

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

762 : 1, 2, 3, 6, 127, 254, 381, 762

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 123,451,704,762,208, is 1.

Now, the common factors can be found like this.

123:3x 41

451:11x 41

704:2x 2x 2x 2x 2x 2x 11

762:2x 3x 127

208:2x 2x 2x 2x 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 3x 11x 41 = 43296

Therefore, the value for common factors is 43296.

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 = 6189743020032/(1x43296)

LCM = 6189743020032/43296

LCM = 142963392

Thus, we can understand that the LCM of 123,451,704,762,208 is 142963392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 123, 451, 704, 762, 208

1. What is the LCM of 123, 451, 704, 762, 208?

Answer: LCM of 123, 451, 704, 762, 208 is 142963392.

2. How to calculate the LCM of 123, 451, 704, 762, 208?

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 123, 451, 704, 762, 208.

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}.