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LCM of 974, 644, 713, 985, 825

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


Find the LCM of 974, 644, 713, 985, 825 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 974, 644, 713, 985, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 974,644,713,985,825

Given numbers are 974,644,713,985,825

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

The LCM of 974,644,713,985,825 is 1580144111700.

Find LCM of 974,644,713,985,825 with Prime Factorization


2 974, 644, 713, 985, 825
5 487, 322, 713, 985, 825
23 487, 322, 713, 197, 165
487, 14, 31, 197, 165

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

2 x 5 x 23 x 487 x 14 x 31 x 197 x 165 = 1580144111700

Therefore, the lowest common multiple of 974,644,713,985,825 is 1580144111700.

LCM Formula to Find Lowest Common Multiple of 974,644,713,985,825

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.

974 x 644 x 713 x 985 x 825 = 363433145691000

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.

974 : 1, 2, 487, 974

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

713 : 1, 23, 31, 713

985 : 1, 5, 197, 985

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,644,713,985,825, is 1.

Now, the common factors can be found like this.

974:2x 487

644:2x 2x 7x 23

713:23x 31

985:5x 197

825:3x 5x 5x 11

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

2x 5x 23 = 230

Therefore, the value for common factors is 230.

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 = 363433145691000/(1x230)

LCM = 363433145691000/230

LCM = 1580144111700

Thus, we can understand that the LCM of 974,644,713,985,825 is 1580144111700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 974, 644, 713, 985, 825

1. What is the LCM of 974, 644, 713, 985, 825?

Answer: LCM of 974, 644, 713, 985, 825 is 1580144111700.

2. How to calculate the LCM of 974, 644, 713, 985, 825?

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 974, 644, 713, 985, 825.

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}.