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LCM of 985, 685, 715, 645

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


Find the LCM of 985, 685, 715, 645 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 985, 685, 715, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 985,685,715,645

Given numbers are 985,685,715,645

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

The LCM of 985,685,715,645 is 2489330415.

Find LCM of 985,685,715,645 with Prime Factorization


5 985, 685, 715, 645
197, 137, 143, 129

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

5 x 197 x 137 x 143 x 129 = 2489330415

Therefore, the lowest common multiple of 985,685,715,645 is 2489330415.

LCM Formula to Find Lowest Common Multiple of 985,685,715,645

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.

985 x 685 x 715 x 645 = 311166301875

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.

985 : 1, 5, 197, 985

685 : 1, 5, 137, 685

715 : 1, 5, 11, 13, 55, 65, 143, 715

645 : 1, 3, 5, 15, 43, 129, 215, 645

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,685,715,645, is 5.

Now, the common factors can be found like this.

985:5x 197

685:5x 137

715:5x 11x 13

645:3x 5x 43

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 311166301875/(5x25)

LCM = 311166301875/125

LCM = 2489330415

Thus, we can understand that the LCM of 985,685,715,645 is 2489330415.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 985, 685, 715, 645

1. What is the LCM of 985, 685, 715, 645?

Answer: LCM of 985, 685, 715, 645 is 2489330415.

2. How to calculate the LCM of 985, 685, 715, 645?

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 985, 685, 715, 645.

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}.