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 161, 309, 782, 102, 303

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


Find the LCM of 161, 309, 782, 102, 303 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 161, 309, 782, 102, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,309,782,102,303

Given numbers are 161,309,782,102,303

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

The LCM of 161,309,782,102,303 is 170838066.

Find LCM of 161,309,782,102,303 with Prime Factorization


2 161, 309, 782, 102, 303
3 161, 309, 391, 51, 303
17 161, 103, 391, 17, 101
23 161, 103, 23, 1, 101
7, 103, 1, 1, 101

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

2 x 3 x 17 x 23 x 7 x 103 x 1 x 1 x 101 = 170838066

Therefore, the lowest common multiple of 161,309,782,102,303 is 170838066.

LCM Formula to Find Lowest Common Multiple of 161,309,782,102,303

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.

161 x 309 x 782 x 102 x 303 = 1202358308508

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.

161 : 1, 7, 23, 161

309 : 1, 3, 103, 309

782 : 1, 2, 17, 23, 34, 46, 391, 782

102 : 1, 2, 3, 6, 17, 34, 51, 102

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,309,782,102,303, is 1.

Now, the common factors can be found like this.

161:7x 23

309:3x 103

782:2x 17x 23

102:2x 3x 17

303:3x 101

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 3x 17x 23 = 7038

Therefore, the value for common factors is 7038.

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 = 1202358308508/(1x7038)

LCM = 1202358308508/7038

LCM = 170838066

Thus, we can understand that the LCM of 161,309,782,102,303 is 170838066.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 309, 782, 102, 303

1. What is the LCM of 161, 309, 782, 102, 303?

Answer: LCM of 161, 309, 782, 102, 303 is 170838066.

2. How to calculate the LCM of 161, 309, 782, 102, 303?

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 161, 309, 782, 102, 303.

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}.