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 209, 121, 506, 113

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


Find the LCM of 209, 121, 506, 113 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 209, 121, 506, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,121,506,113

Given numbers are 209,121,506,113

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

The LCM of 209,121,506,113 is 11950202.

Find LCM of 209,121,506,113 with Prime Factorization


11 209, 121, 506, 113
19, 11, 46, 113

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

11 x 19 x 11 x 46 x 113 = 11950202

Therefore, the lowest common multiple of 209,121,506,113 is 11950202.

LCM Formula to Find Lowest Common Multiple of 209,121,506,113

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.

209 x 121 x 506 x 113 = 1445974442

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.

209 : 1, 11, 19, 209

121 : 1, 11, 121

506 : 1, 2, 11, 22, 23, 46, 253, 506

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,121,506,113, is 1.

Now, the common factors can be found like this.

209:11x 19

121:11x 11

506:2x 11x 23

113:113

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 1445974442/(1x121)

LCM = 1445974442/121

LCM = 11950202

Thus, we can understand that the LCM of 209,121,506,113 is 11950202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 121, 506, 113

1. What is the LCM of 209, 121, 506, 113?

Answer: LCM of 209, 121, 506, 113 is 11950202.

2. How to calculate the LCM of 209, 121, 506, 113?

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 209, 121, 506, 113.

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}.