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 109, 990, 472, 162, 118

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


Find the LCM of 109, 990, 472, 162, 118 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 109, 990, 472, 162, 118. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,990,472,162,118

Given numbers are 109,990,472,162,118

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

The LCM of 109,990,472,162,118 is 229200840.

Find LCM of 109,990,472,162,118 with Prime Factorization


2 109, 990, 472, 162, 118
3 109, 495, 236, 81, 59
3 109, 165, 236, 27, 59
59 109, 55, 236, 9, 59
109, 55, 4, 9, 1

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

2 x 3 x 3 x 59 x 109 x 55 x 4 x 9 x 1 = 229200840

Therefore, the lowest common multiple of 109,990,472,162,118 is 229200840.

LCM Formula to Find Lowest Common Multiple of 109,990,472,162,118

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.

109 x 990 x 472 x 162 x 118 = 973645168320

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.

109 : 1, 109

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

472 : 1, 2, 4, 8, 59, 118, 236, 472

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,990,472,162,118, is 1.

Now, the common factors can be found like this.

109:109

990:2x 3x 3x 5x 11

472:2x 2x 2x 59

162:2x 3x 3x 3x 3

118:2x 59

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

2x 2x 2x 3x 3x 59 = 4248

Therefore, the value for common factors is 4248.

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 = 973645168320/(1x4248)

LCM = 973645168320/4248

LCM = 229200840

Thus, we can understand that the LCM of 109,990,472,162,118 is 229200840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 990, 472, 162, 118

1. What is the LCM of 109, 990, 472, 162, 118?

Answer: LCM of 109, 990, 472, 162, 118 is 229200840.

2. How to calculate the LCM of 109, 990, 472, 162, 118?

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 109, 990, 472, 162, 118.

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}.