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 942, 468, 672, 180

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


Find the LCM of 942, 468, 672, 180 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 942, 468, 672, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,468,672,180

Given numbers are 942,468,672,180

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

The LCM of 942,468,672,180 is 20573280.

Find LCM of 942,468,672,180 with Prime Factorization


2 942, 468, 672, 180
2 471, 234, 336, 90
3 471, 117, 168, 45
3 157, 39, 56, 15
157, 13, 56, 5

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

2 x 2 x 3 x 3 x 157 x 13 x 56 x 5 = 20573280

Therefore, the lowest common multiple of 942,468,672,180 is 20573280.

LCM Formula to Find Lowest Common Multiple of 942,468,672,180

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.

942 x 468 x 672 x 180 = 53325941760

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,468,672,180, is 6.

Now, the common factors can be found like this.

942:2x 3x 157

468:2x 2x 3x 3x 13

672:2x 2x 2x 2x 2x 3x 7

180:2x 2x 3x 3x 5

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 53325941760/(6x432)

LCM = 53325941760/2592

LCM = 20573280

Thus, we can understand that the LCM of 942,468,672,180 is 20573280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 468, 672, 180

1. What is the LCM of 942, 468, 672, 180?

Answer: LCM of 942, 468, 672, 180 is 20573280.

2. How to calculate the LCM of 942, 468, 672, 180?

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 942, 468, 672, 180.

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}.