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 865, 140, 324, 672, 445

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


Find the LCM of 865, 140, 324, 672, 445 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 865, 140, 324, 672, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,140,324,672,445

Given numbers are 865,140,324,672,445

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

The LCM of 865,140,324,672,445 is 1396815840.

Find LCM of 865,140,324,672,445 with Prime Factorization


2 865, 140, 324, 672, 445
2 865, 70, 162, 336, 445
3 865, 35, 81, 168, 445
5 865, 35, 27, 56, 445
7 173, 7, 27, 56, 89
173, 1, 27, 8, 89

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

2 x 2 x 3 x 5 x 7 x 173 x 1 x 27 x 8 x 89 = 1396815840

Therefore, the lowest common multiple of 865,140,324,672,445 is 1396815840.

LCM Formula to Find Lowest Common Multiple of 865,140,324,672,445

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.

865 x 140 x 324 x 672 x 445 = 11733253056000

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.

865 : 1, 5, 173, 865

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,140,324,672,445, is 1.

Now, the common factors can be found like this.

865:5x 173

140:2x 2x 5x 7

324:2x 2x 3x 3x 3x 3

672:2x 2x 2x 2x 2x 3x 7

445:5x 89

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 3x 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 11733253056000/(1x8400)

LCM = 11733253056000/8400

LCM = 1396815840

Thus, we can understand that the LCM of 865,140,324,672,445 is 1396815840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 140, 324, 672, 445

1. What is the LCM of 865, 140, 324, 672, 445?

Answer: LCM of 865, 140, 324, 672, 445 is 1396815840.

2. How to calculate the LCM of 865, 140, 324, 672, 445?

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 865, 140, 324, 672, 445.

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}.