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LCM of 785, 900, 516, 25

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


Find the LCM of 785, 900, 516, 25 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 785, 900, 516, 25. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,900,516,25

Given numbers are 785,900,516,25

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

The LCM of 785,900,516,25 is 6075900.

Find LCM of 785,900,516,25 with Prime Factorization


2 785, 900, 516, 25
2 785, 450, 258, 25
3 785, 225, 129, 25
5 785, 75, 43, 25
5 157, 15, 43, 5
157, 3, 43, 1

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

2 x 2 x 3 x 5 x 5 x 157 x 3 x 43 x 1 = 6075900

Therefore, the lowest common multiple of 785,900,516,25 is 6075900.

LCM Formula to Find Lowest Common Multiple of 785,900,516,25

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.

785 x 900 x 516 x 25 = 9113850000

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.

785 : 1, 5, 157, 785

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

25 : 1, 5, 25

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,900,516,25, is 1.

Now, the common factors can be found like this.

785:5x 157

900:2x 2x 3x 3x 5x 5

516:2x 2x 3x 43

25:5x 5

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

2x 2x 3x 5x 5x 5 = 1500

Therefore, the value for common factors is 1500.

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 = 9113850000/(1x1500)

LCM = 9113850000/1500

LCM = 6075900

Thus, we can understand that the LCM of 785,900,516,25 is 6075900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 900, 516, 25

1. What is the LCM of 785, 900, 516, 25?

Answer: LCM of 785, 900, 516, 25 is 6075900.

2. How to calculate the LCM of 785, 900, 516, 25?

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 785, 900, 516, 25.

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}.