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LCM of 825, 877, 210, 701

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


Find the LCM of 825, 877, 210, 701 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 825, 877, 210, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,877,210,701

Given numbers are 825,877,210,701

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

The LCM of 825,877,210,701 is 7100674350.

Find LCM of 825,877,210,701 with Prime Factorization


3 825, 877, 210, 701
5 275, 877, 70, 701
55, 877, 14, 701

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

3 x 5 x 55 x 877 x 14 x 701 = 7100674350

Therefore, the lowest common multiple of 825,877,210,701 is 7100674350.

LCM Formula to Find Lowest Common Multiple of 825,877,210,701

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.

825 x 877 x 210 x 701 = 106510115250

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

877 : 1, 877

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,877,210,701, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

877:877

210:2x 3x 5x 7

701:701

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 106510115250/(1x15)

LCM = 106510115250/15

LCM = 7100674350

Thus, we can understand that the LCM of 825,877,210,701 is 7100674350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 877, 210, 701

1. What is the LCM of 825, 877, 210, 701?

Answer: LCM of 825, 877, 210, 701 is 7100674350.

2. How to calculate the LCM of 825, 877, 210, 701?

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 825, 877, 210, 701.

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}.