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LCM of 704, 242, 119, 102

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


Find the LCM of 704, 242, 119, 102 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 704, 242, 119, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,242,119,102

Given numbers are 704,242,119,102

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

The LCM of 704,242,119,102 is 2764608.

Find LCM of 704,242,119,102 with Prime Factorization


2 704, 242, 119, 102
11 352, 121, 119, 51
17 32, 11, 119, 51
32, 11, 7, 3

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

2 x 11 x 17 x 32 x 11 x 7 x 3 = 2764608

Therefore, the lowest common multiple of 704,242,119,102 is 2764608.

LCM Formula to Find Lowest Common Multiple of 704,242,119,102

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.

704 x 242 x 119 x 102 = 2067926784

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.

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

242 : 1, 2, 11, 22, 121, 242

119 : 1, 7, 17, 119

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,242,119,102, is 1.

Now, the common factors can be found like this.

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

242:2x 11x 11

119:7x 17

102:2x 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 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 2067926784/(1x748)

LCM = 2067926784/748

LCM = 2764608

Thus, we can understand that the LCM of 704,242,119,102 is 2764608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 242, 119, 102

1. What is the LCM of 704, 242, 119, 102?

Answer: LCM of 704, 242, 119, 102 is 2764608.

2. How to calculate the LCM of 704, 242, 119, 102?

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 704, 242, 119, 102.

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}.