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LCM of 689, 842, 421, 939

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


Find the LCM of 689, 842, 421, 939 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 689, 842, 421, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,842,421,939

Given numbers are 689,842,421,939

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

The LCM of 689,842,421,939 is 544749582.

Find LCM of 689,842,421,939 with Prime Factorization


421 689, 842, 421, 939
689, 2, 1, 939

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

421 x 689 x 2 x 1 x 939 = 544749582

Therefore, the lowest common multiple of 689,842,421,939 is 544749582.

LCM Formula to Find Lowest Common Multiple of 689,842,421,939

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.

689 x 842 x 421 x 939 = 229339574022

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.

689 : 1, 13, 53, 689

842 : 1, 2, 421, 842

421 : 1, 421

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,842,421,939, is 1.

Now, the common factors can be found like this.

689:13x 53

842:2x 421

421:421

939:3x 313

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

421 = 421

Therefore, the value for common factors is 421.

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 = 229339574022/(1x421)

LCM = 229339574022/421

LCM = 544749582

Thus, we can understand that the LCM of 689,842,421,939 is 544749582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 842, 421, 939

1. What is the LCM of 689, 842, 421, 939?

Answer: LCM of 689, 842, 421, 939 is 544749582.

2. How to calculate the LCM of 689, 842, 421, 939?

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 689, 842, 421, 939.

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}.