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LCM of 739, 704, 842, 842

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


Find the LCM of 739, 704, 842, 842 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 739, 704, 842, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 739,704,842,842

Given numbers are 739,704,842,842

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

The LCM of 739,704,842,842 is 219027776.

Find LCM of 739,704,842,842 with Prime Factorization


2 739, 704, 842, 842
421 739, 352, 421, 421
739, 352, 1, 1

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

2 x 421 x 739 x 352 x 1 x 1 = 219027776

Therefore, the lowest common multiple of 739,704,842,842 is 219027776.

LCM Formula to Find Lowest Common Multiple of 739,704,842,842

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.

739 x 704 x 842 x 842 = 368842774784

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.

739 : 1, 739

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

842 : 1, 2, 421, 842

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,704,842,842, is 1.

Now, the common factors can be found like this.

739:739

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

842:2x 421

842:2x 421

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 421 = 1684

Therefore, the value for common factors is 1684.

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 = 368842774784/(1x1684)

LCM = 368842774784/1684

LCM = 219027776

Thus, we can understand that the LCM of 739,704,842,842 is 219027776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 739, 704, 842, 842

1. What is the LCM of 739, 704, 842, 842?

Answer: LCM of 739, 704, 842, 842 is 219027776.

2. How to calculate the LCM of 739, 704, 842, 842?

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 739, 704, 842, 842.

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}.