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LCM of 496, 682, 178, 747

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


Find the LCM of 496, 682, 178, 747 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 496, 682, 178, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 496,682,178,747

Given numbers are 496,682,178,747

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

The LCM of 496,682,178,747 is 362731248.

Find LCM of 496,682,178,747 with Prime Factorization


2 496, 682, 178, 747
31 248, 341, 89, 747
8, 11, 89, 747

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

2 x 31 x 8 x 11 x 89 x 747 = 362731248

Therefore, the lowest common multiple of 496,682,178,747 is 362731248.

LCM Formula to Find Lowest Common Multiple of 496,682,178,747

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.

496 x 682 x 178 x 747 = 44978674752

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

682 : 1, 2, 11, 22, 31, 62, 341, 682

178 : 1, 2, 89, 178

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,682,178,747, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

682:2x 11x 31

178:2x 89

747:3x 3x 83

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 31 = 124

Therefore, the value for common factors is 124.

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 = 44978674752/(1x124)

LCM = 44978674752/124

LCM = 362731248

Thus, we can understand that the LCM of 496,682,178,747 is 362731248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 496, 682, 178, 747

1. What is the LCM of 496, 682, 178, 747?

Answer: LCM of 496, 682, 178, 747 is 362731248.

2. How to calculate the LCM of 496, 682, 178, 747?

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 496, 682, 178, 747.

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}.