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 503, 338, 303, 606, 691

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


Find the LCM of 503, 338, 303, 606, 691 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 503, 338, 303, 606, 691. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,338,303,606,691

Given numbers are 503,338,303,606,691

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

The LCM of 503,338,303,606,691 is 35596341222.

Find LCM of 503,338,303,606,691 with Prime Factorization


2 503, 338, 303, 606, 691
3 503, 169, 303, 303, 691
101 503, 169, 101, 101, 691
503, 169, 1, 1, 691

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

2 x 3 x 101 x 503 x 169 x 1 x 1 x 691 = 35596341222

Therefore, the lowest common multiple of 503,338,303,606,691 is 35596341222.

LCM Formula to Find Lowest Common Multiple of 503,338,303,606,691

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.

503 x 338 x 303 x 606 x 691 = 21571382780532

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.

503 : 1, 503

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

303 : 1, 3, 101, 303

606 : 1, 2, 3, 6, 101, 202, 303, 606

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,338,303,606,691, is 1.

Now, the common factors can be found like this.

503:503

338:2x 13x 13

303:3x 101

606:2x 3x 101

691:691

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

2x 3x 101 = 606

Therefore, the value for common factors is 606.

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 = 21571382780532/(1x606)

LCM = 21571382780532/606

LCM = 35596341222

Thus, we can understand that the LCM of 503,338,303,606,691 is 35596341222.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 338, 303, 606, 691

1. What is the LCM of 503, 338, 303, 606, 691?

Answer: LCM of 503, 338, 303, 606, 691 is 35596341222.

2. How to calculate the LCM of 503, 338, 303, 606, 691?

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 503, 338, 303, 606, 691.

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}.