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 868, 865, 694, 450

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


Find the LCM of 868, 865, 694, 450 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 868, 865, 694, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 868,865,694,450

Given numbers are 868,865,694,450

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

The LCM of 868,865,694,450 is 11724054300.

Find LCM of 868,865,694,450 with Prime Factorization


2 868, 865, 694, 450
5 434, 865, 347, 225
434, 173, 347, 45

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

2 x 5 x 434 x 173 x 347 x 45 = 11724054300

Therefore, the lowest common multiple of 868,865,694,450 is 11724054300.

LCM Formula to Find Lowest Common Multiple of 868,865,694,450

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.

868 x 865 x 694 x 450 = 234481086000

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

865 : 1, 5, 173, 865

694 : 1, 2, 347, 694

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,865,694,450, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

865:5x 173

694:2x 347

450:2x 3x 3x 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 5 = 20

Therefore, the value for common factors is 20.

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 = 234481086000/(1x20)

LCM = 234481086000/20

LCM = 11724054300

Thus, we can understand that the LCM of 868,865,694,450 is 11724054300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 868, 865, 694, 450

1. What is the LCM of 868, 865, 694, 450?

Answer: LCM of 868, 865, 694, 450 is 11724054300.

2. How to calculate the LCM of 868, 865, 694, 450?

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 868, 865, 694, 450.

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}.