LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 787, 862, 210, 825

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


Find the LCM of 787, 862, 210, 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 787, 862, 210, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,862,210,825

Given numbers are 787,862,210,825

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

The LCM of 787,862,210,825 is 3917725350.

Find LCM of 787,862,210,825 with Prime Factorization


2 787, 862, 210, 825
3 787, 431, 105, 825
5 787, 431, 35, 275
787, 431, 7, 55

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

2 x 3 x 5 x 787 x 431 x 7 x 55 = 3917725350

Therefore, the lowest common multiple of 787,862,210,825 is 3917725350.

LCM Formula to Find Lowest Common Multiple of 787,862,210,825

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.

787 x 862 x 210 x 825 = 117531760500

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.

787 : 1, 787

862 : 1, 2, 431, 862

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 787,862,210,825, is 1.

Now, the common factors can be found like this.

787:787

862:2x 431

210:2x 3x 5x 7

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 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 117531760500/(1x30)

LCM = 117531760500/30

LCM = 3917725350

Thus, we can understand that the LCM of 787,862,210,825 is 3917725350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 862, 210, 825

1. What is the LCM of 787, 862, 210, 825?

Answer: LCM of 787, 862, 210, 825 is 3917725350.

2. How to calculate the LCM of 787, 862, 210, 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 787, 862, 210, 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}.