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 875, 169, 495, 728

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


Find the LCM of 875, 169, 495, 728 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 875, 169, 495, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 875,169,495,728

Given numbers are 875,169,495,728

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

The LCM of 875,169,495,728 is 117117000.

Find LCM of 875,169,495,728 with Prime Factorization


5 875, 169, 495, 728
7 175, 169, 99, 728
13 25, 169, 99, 104
25, 13, 99, 8

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

5 x 7 x 13 x 25 x 13 x 99 x 8 = 117117000

Therefore, the lowest common multiple of 875,169,495,728 is 117117000.

LCM Formula to Find Lowest Common Multiple of 875,169,495,728

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.

875 x 169 x 495 x 728 = 53288235000

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

169 : 1, 13, 169

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,169,495,728, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

169:13x 13

495:3x 3x 5x 11

728:2x 2x 2x 7x 13

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

5x 7x 13 = 455

Therefore, the value for common factors is 455.

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 = 53288235000/(1x455)

LCM = 53288235000/455

LCM = 117117000

Thus, we can understand that the LCM of 875,169,495,728 is 117117000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 875, 169, 495, 728

1. What is the LCM of 875, 169, 495, 728?

Answer: LCM of 875, 169, 495, 728 is 117117000.

2. How to calculate the LCM of 875, 169, 495, 728?

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 875, 169, 495, 728.

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}.