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 160, 688, 728, 326, 375

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


Find the LCM of 160, 688, 728, 326, 375 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 160, 688, 728, 326, 375. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 160,688,728,326,375

Given numbers are 160,688,728,326,375

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

The LCM of 160,688,728,326,375 is 7653828000.

Find LCM of 160,688,728,326,375 with Prime Factorization


2 160, 688, 728, 326, 375
2 80, 344, 364, 163, 375
2 40, 172, 182, 163, 375
2 20, 86, 91, 163, 375
5 10, 43, 91, 163, 375
2, 43, 91, 163, 75

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

2 x 2 x 2 x 2 x 5 x 2 x 43 x 91 x 163 x 75 = 7653828000

Therefore, the lowest common multiple of 160,688,728,326,375 is 7653828000.

LCM Formula to Find Lowest Common Multiple of 160,688,728,326,375

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.

160 x 688 x 728 x 326 x 375 = 9796899840000

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.

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

326 : 1, 2, 163, 326

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 160,688,728,326,375, is 1.

Now, the common factors can be found like this.

160:2x 2x 2x 2x 2x 5

688:2x 2x 2x 2x 43

728:2x 2x 2x 7x 13

326:2x 163

375:3x 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.

2x 2x 2x 2x 2x 2x 2x 2x 5 = 1280

Therefore, the value for common factors is 1280.

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 = 9796899840000/(1x1280)

LCM = 9796899840000/1280

LCM = 7653828000

Thus, we can understand that the LCM of 160,688,728,326,375 is 7653828000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 160, 688, 728, 326, 375

1. What is the LCM of 160, 688, 728, 326, 375?

Answer: LCM of 160, 688, 728, 326, 375 is 7653828000.

2. How to calculate the LCM of 160, 688, 728, 326, 375?

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 160, 688, 728, 326, 375.

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}.