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LCM of 647, 974, 536, 729

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


Find the LCM of 647, 974, 536, 729 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 647, 974, 536, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 647,974,536,729

Given numbers are 647,974,536,729

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

The LCM of 647,974,536,729 is 123119136216.

Find LCM of 647,974,536,729 with Prime Factorization


2 647, 974, 536, 729
647, 487, 268, 729

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

2 x 647 x 487 x 268 x 729 = 123119136216

Therefore, the lowest common multiple of 647,974,536,729 is 123119136216.

LCM Formula to Find Lowest Common Multiple of 647,974,536,729

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.

647 x 974 x 536 x 729 = 246238272432

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.

647 : 1, 647

974 : 1, 2, 487, 974

536 : 1, 2, 4, 8, 67, 134, 268, 536

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,974,536,729, is 1.

Now, the common factors can be found like this.

647:647

974:2x 487

536:2x 2x 2x 67

729:3x 3x 3x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 246238272432/(1x2)

LCM = 246238272432/2

LCM = 123119136216

Thus, we can understand that the LCM of 647,974,536,729 is 123119136216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 647, 974, 536, 729

1. What is the LCM of 647, 974, 536, 729?

Answer: LCM of 647, 974, 536, 729 is 123119136216.

2. How to calculate the LCM of 647, 974, 536, 729?

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 647, 974, 536, 729.

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}.