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LCM of 723, 346, 771, 656

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


Find the LCM of 723, 346, 771, 656 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 723, 346, 771, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,346,771,656

Given numbers are 723,346,771,656

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

The LCM of 723,346,771,656 is 21087318768.

Find LCM of 723,346,771,656 with Prime Factorization


2 723, 346, 771, 656
3 723, 173, 771, 328
241, 173, 257, 328

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

2 x 3 x 241 x 173 x 257 x 328 = 21087318768

Therefore, the lowest common multiple of 723,346,771,656 is 21087318768.

LCM Formula to Find Lowest Common Multiple of 723,346,771,656

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.

723 x 346 x 771 x 656 = 126523912608

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.

723 : 1, 3, 241, 723

346 : 1, 2, 173, 346

771 : 1, 3, 257, 771

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,346,771,656, is 1.

Now, the common factors can be found like this.

723:3x 241

346:2x 173

771:3x 257

656:2x 2x 2x 2x 41

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 126523912608/(1x6)

LCM = 126523912608/6

LCM = 21087318768

Thus, we can understand that the LCM of 723,346,771,656 is 21087318768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 346, 771, 656

1. What is the LCM of 723, 346, 771, 656?

Answer: LCM of 723, 346, 771, 656 is 21087318768.

2. How to calculate the LCM of 723, 346, 771, 656?

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 723, 346, 771, 656.

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}.