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LCM of 731, 342, 706, 516

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


Find the LCM of 731, 342, 706, 516 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 731, 342, 706, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,342,706,516

Given numbers are 731,342,706,516

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

The LCM of 731,342,706,516 is 176501412.

Find LCM of 731,342,706,516 with Prime Factorization


2 731, 342, 706, 516
3 731, 171, 353, 258
43 731, 57, 353, 86
17, 57, 353, 2

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

2 x 3 x 43 x 17 x 57 x 353 x 2 = 176501412

Therefore, the lowest common multiple of 731,342,706,516 is 176501412.

LCM Formula to Find Lowest Common Multiple of 731,342,706,516

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.

731 x 342 x 706 x 516 = 91074728592

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.

731 : 1, 17, 43, 731

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

706 : 1, 2, 353, 706

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,342,706,516, is 1.

Now, the common factors can be found like this.

731:17x 43

342:2x 3x 3x 19

706:2x 353

516:2x 2x 3x 43

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 3x 43 = 516

Therefore, the value for common factors is 516.

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 = 91074728592/(1x516)

LCM = 91074728592/516

LCM = 176501412

Thus, we can understand that the LCM of 731,342,706,516 is 176501412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 342, 706, 516

1. What is the LCM of 731, 342, 706, 516?

Answer: LCM of 731, 342, 706, 516 is 176501412.

2. How to calculate the LCM of 731, 342, 706, 516?

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 731, 342, 706, 516.

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}.