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LCM of 294, 174, 471, 861

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


Find the LCM of 294, 174, 471, 861 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 294, 174, 471, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 294,174,471,861

Given numbers are 294,174,471,861

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

The LCM of 294,174,471,861 is 54881862.

Find LCM of 294,174,471,861 with Prime Factorization


2 294, 174, 471, 861
3 147, 87, 471, 861
7 49, 29, 157, 287
7, 29, 157, 41

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

2 x 3 x 7 x 7 x 29 x 157 x 41 = 54881862

Therefore, the lowest common multiple of 294,174,471,861 is 54881862.

LCM Formula to Find Lowest Common Multiple of 294,174,471,861

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.

294 x 174 x 471 x 861 = 20745343836

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

174 : 1, 2, 3, 6, 29, 58, 87, 174

471 : 1, 3, 157, 471

861 : 1, 3, 7, 21, 41, 123, 287, 861

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,174,471,861, is 3.

Now, the common factors can be found like this.

294:2x 3x 7x 7

174:2x 3x 29

471:3x 157

861:3x 7x 41

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 7 = 126

Therefore, the value for common factors is 126.

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 = 20745343836/(3x126)

LCM = 20745343836/378

LCM = 54881862

Thus, we can understand that the LCM of 294,174,471,861 is 54881862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 294, 174, 471, 861

1. What is the LCM of 294, 174, 471, 861?

Answer: LCM of 294, 174, 471, 861 is 54881862.

2. How to calculate the LCM of 294, 174, 471, 861?

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 294, 174, 471, 861.

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}.