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LCM of 314, 706, 884, 742

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


Find the LCM of 314, 706, 884, 742 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 314, 706, 884, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,706,884,742

Given numbers are 314,706,884,742

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

The LCM of 314,706,884,742 is 18176092844.

Find LCM of 314,706,884,742 with Prime Factorization


2 314, 706, 884, 742
157, 353, 442, 371

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

2 x 157 x 353 x 442 x 371 = 18176092844

Therefore, the lowest common multiple of 314,706,884,742 is 18176092844.

LCM Formula to Find Lowest Common Multiple of 314,706,884,742

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.

314 x 706 x 884 x 742 = 145408742752

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.

314 : 1, 2, 157, 314

706 : 1, 2, 353, 706

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,706,884,742, is 2.

Now, the common factors can be found like this.

314:2x 157

706:2x 353

884:2x 2x 13x 17

742:2x 7x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 145408742752/(2x4)

LCM = 145408742752/8

LCM = 18176092844

Thus, we can understand that the LCM of 314,706,884,742 is 18176092844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 706, 884, 742

1. What is the LCM of 314, 706, 884, 742?

Answer: LCM of 314, 706, 884, 742 is 18176092844.

2. How to calculate the LCM of 314, 706, 884, 742?

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 314, 706, 884, 742.

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}.