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 572, 106, 689, 652, 746

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


Find the LCM of 572, 106, 689, 652, 746 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 572, 106, 689, 652, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,106,689,652,746

Given numbers are 572,106,689,652,746

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

The LCM of 572,106,689,652,746 is 1843182484.

Find LCM of 572,106,689,652,746 with Prime Factorization


2 572, 106, 689, 652, 746
2 286, 53, 689, 326, 373
13 143, 53, 689, 163, 373
53 11, 53, 53, 163, 373
11, 1, 1, 163, 373

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

2 x 2 x 13 x 53 x 11 x 1 x 1 x 163 x 373 = 1843182484

Therefore, the lowest common multiple of 572,106,689,652,746 is 1843182484.

LCM Formula to Find Lowest Common Multiple of 572,106,689,652,746

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.

572 x 106 x 689 x 652 x 746 = 20319243703616

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

106 : 1, 2, 53, 106

689 : 1, 13, 53, 689

652 : 1, 2, 4, 163, 326, 652

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,106,689,652,746, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

106:2x 53

689:13x 53

652:2x 2x 163

746:2x 373

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 13x 53 = 11024

Therefore, the value for common factors is 11024.

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 = 20319243703616/(1x11024)

LCM = 20319243703616/11024

LCM = 1843182484

Thus, we can understand that the LCM of 572,106,689,652,746 is 1843182484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 106, 689, 652, 746

1. What is the LCM of 572, 106, 689, 652, 746?

Answer: LCM of 572, 106, 689, 652, 746 is 1843182484.

2. How to calculate the LCM of 572, 106, 689, 652, 746?

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 572, 106, 689, 652, 746.

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}.