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 240, 143, 282, 338, 689

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


Find the LCM of 240, 143, 282, 338, 689 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 240, 143, 282, 338, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 240,143,282,338,689

Given numbers are 240,143,282,338,689

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

The LCM of 240,143,282,338,689 is 1111384560.

Find LCM of 240,143,282,338,689 with Prime Factorization


2 240, 143, 282, 338, 689
3 120, 143, 141, 169, 689
13 40, 143, 47, 169, 689
40, 11, 47, 13, 53

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

2 x 3 x 13 x 40 x 11 x 47 x 13 x 53 = 1111384560

Therefore, the lowest common multiple of 240,143,282,338,689 is 1111384560.

LCM Formula to Find Lowest Common Multiple of 240,143,282,338,689

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.

240 x 143 x 282 x 338 x 689 = 2253887887680

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

143 : 1, 11, 13, 143

282 : 1, 2, 3, 6, 47, 94, 141, 282

338 : 1, 2, 13, 26, 169, 338

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,143,282,338,689, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

143:11x 13

282:2x 3x 47

338:2x 13x 13

689:13x 53

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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 2253887887680/(1x2028)

LCM = 2253887887680/2028

LCM = 1111384560

Thus, we can understand that the LCM of 240,143,282,338,689 is 1111384560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 240, 143, 282, 338, 689

1. What is the LCM of 240, 143, 282, 338, 689?

Answer: LCM of 240, 143, 282, 338, 689 is 1111384560.

2. How to calculate the LCM of 240, 143, 282, 338, 689?

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 240, 143, 282, 338, 689.

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}.