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 880, 671, 373, 198

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


Find the LCM of 880, 671, 373, 198 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 880, 671, 373, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,671,373,198

Given numbers are 880,671,373,198

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

The LCM of 880,671,373,198 is 180203760.

Find LCM of 880,671,373,198 with Prime Factorization


2 880, 671, 373, 198
11 440, 671, 373, 99
40, 61, 373, 9

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

2 x 11 x 40 x 61 x 373 x 9 = 180203760

Therefore, the lowest common multiple of 880,671,373,198 is 180203760.

LCM Formula to Find Lowest Common Multiple of 880,671,373,198

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.

880 x 671 x 373 x 198 = 43609309920

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

671 : 1, 11, 61, 671

373 : 1, 373

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,671,373,198, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

671:11x 61

373:373

198:2x 3x 3x 11

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 43609309920/(1x242)

LCM = 43609309920/242

LCM = 180203760

Thus, we can understand that the LCM of 880,671,373,198 is 180203760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 671, 373, 198

1. What is the LCM of 880, 671, 373, 198?

Answer: LCM of 880, 671, 373, 198 is 180203760.

2. How to calculate the LCM of 880, 671, 373, 198?

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 880, 671, 373, 198.

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}.