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 106, 477, 975, 303, 122

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


Find the LCM of 106, 477, 975, 303, 122 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 106, 477, 975, 303, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,477,975,303,122

Given numbers are 106,477,975,303,122

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

The LCM of 106,477,975,303,122 is 1910218050.

Find LCM of 106,477,975,303,122 with Prime Factorization


2 106, 477, 975, 303, 122
3 53, 477, 975, 303, 61
53 53, 159, 325, 101, 61
1, 3, 325, 101, 61

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

2 x 3 x 53 x 1 x 3 x 325 x 101 x 61 = 1910218050

Therefore, the lowest common multiple of 106,477,975,303,122 is 1910218050.

LCM Formula to Find Lowest Common Multiple of 106,477,975,303,122

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.

106 x 477 x 975 x 303 x 122 = 1822348019700

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.

106 : 1, 2, 53, 106

477 : 1, 3, 9, 53, 159, 477

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

303 : 1, 3, 101, 303

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,477,975,303,122, is 1.

Now, the common factors can be found like this.

106:2x 53

477:3x 3x 53

975:3x 5x 5x 13

303:3x 101

122:2x 61

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 53 = 954

Therefore, the value for common factors is 954.

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 = 1822348019700/(1x954)

LCM = 1822348019700/954

LCM = 1910218050

Thus, we can understand that the LCM of 106,477,975,303,122 is 1910218050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 477, 975, 303, 122

1. What is the LCM of 106, 477, 975, 303, 122?

Answer: LCM of 106, 477, 975, 303, 122 is 1910218050.

2. How to calculate the LCM of 106, 477, 975, 303, 122?

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 106, 477, 975, 303, 122.

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}.