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LCM of 500, 657, 625, 713

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


Find the LCM of 500, 657, 625, 713 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 500, 657, 625, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 500,657,625,713

Given numbers are 500,657,625,713

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

The LCM of 500,657,625,713 is 1171102500.

Find LCM of 500,657,625,713 with Prime Factorization


5 500, 657, 625, 713
5 100, 657, 125, 713
5 20, 657, 25, 713
4, 657, 5, 713

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

5 x 5 x 5 x 4 x 657 x 5 x 713 = 1171102500

Therefore, the lowest common multiple of 500,657,625,713 is 1171102500.

LCM Formula to Find Lowest Common Multiple of 500,657,625,713

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.

500 x 657 x 625 x 713 = 146387812500

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.

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

657 : 1, 3, 9, 73, 219, 657

625 : 1, 5, 25, 125, 625

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,657,625,713, is 1.

Now, the common factors can be found like this.

500:2x 2x 5x 5x 5

657:3x 3x 73

625:5x 5x 5x 5

713:23x 31

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

5x 5x 5 = 125

Therefore, the value for common factors is 125.

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 = 146387812500/(1x125)

LCM = 146387812500/125

LCM = 1171102500

Thus, we can understand that the LCM of 500,657,625,713 is 1171102500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 500, 657, 625, 713

1. What is the LCM of 500, 657, 625, 713?

Answer: LCM of 500, 657, 625, 713 is 1171102500.

2. How to calculate the LCM of 500, 657, 625, 713?

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 500, 657, 625, 713.

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}.