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LCM of 625, 681, 145, 500

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


Find the LCM of 625, 681, 145, 500 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 625, 681, 145, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,681,145,500

Given numbers are 625,681,145,500

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

The LCM of 625,681,145,500 is 49372500.

Find LCM of 625,681,145,500 with Prime Factorization


5 625, 681, 145, 500
5 125, 681, 29, 100
5 25, 681, 29, 20
5, 681, 29, 4

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

5 x 5 x 5 x 5 x 681 x 29 x 4 = 49372500

Therefore, the lowest common multiple of 625,681,145,500 is 49372500.

LCM Formula to Find Lowest Common Multiple of 625,681,145,500

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.

625 x 681 x 145 x 500 = 30857812500

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.

625 : 1, 5, 25, 125, 625

681 : 1, 3, 227, 681

145 : 1, 5, 29, 145

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,681,145,500, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

681:3x 227

145:5x 29

500:2x 2x 5x 5x 5

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 5x 5 = 625

Therefore, the value for common factors is 625.

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 = 30857812500/(1x625)

LCM = 30857812500/625

LCM = 49372500

Thus, we can understand that the LCM of 625,681,145,500 is 49372500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 681, 145, 500

1. What is the LCM of 625, 681, 145, 500?

Answer: LCM of 625, 681, 145, 500 is 49372500.

2. How to calculate the LCM of 625, 681, 145, 500?

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 625, 681, 145, 500.

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}.