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LCM of 661, 939, 700, 543

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


Find the LCM of 661, 939, 700, 543 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 661, 939, 700, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,939,700,543

Given numbers are 661,939,700,543

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

The LCM of 661,939,700,543 is 78640029300.

Find LCM of 661,939,700,543 with Prime Factorization


3 661, 939, 700, 543
661, 313, 700, 181

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

3 x 661 x 313 x 700 x 181 = 78640029300

Therefore, the lowest common multiple of 661,939,700,543 is 78640029300.

LCM Formula to Find Lowest Common Multiple of 661,939,700,543

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.

661 x 939 x 700 x 543 = 235920087900

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.

661 : 1, 661

939 : 1, 3, 313, 939

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,939,700,543, is 1.

Now, the common factors can be found like this.

661:661

939:3x 313

700:2x 2x 5x 5x 7

543:3x 181

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

3 = 3

Therefore, the value for common factors is 3.

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 = 235920087900/(1x3)

LCM = 235920087900/3

LCM = 78640029300

Thus, we can understand that the LCM of 661,939,700,543 is 78640029300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 939, 700, 543

1. What is the LCM of 661, 939, 700, 543?

Answer: LCM of 661, 939, 700, 543 is 78640029300.

2. How to calculate the LCM of 661, 939, 700, 543?

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 661, 939, 700, 543.

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}.