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LCM of 671, 741, 882, 244

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


Find the LCM of 671, 741, 882, 244 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 671, 741, 882, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,741,882,244

Given numbers are 671,741,882,244

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

The LCM of 671,741,882,244 is 292360068.

Find LCM of 671,741,882,244 with Prime Factorization


2 671, 741, 882, 244
3 671, 741, 441, 122
61 671, 247, 147, 122
11, 247, 147, 2

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

2 x 3 x 61 x 11 x 247 x 147 x 2 = 292360068

Therefore, the lowest common multiple of 671,741,882,244 is 292360068.

LCM Formula to Find Lowest Common Multiple of 671,741,882,244

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.

671 x 741 x 882 x 244 = 107003784888

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.

671 : 1, 11, 61, 671

741 : 1, 3, 13, 19, 39, 57, 247, 741

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,741,882,244, is 1.

Now, the common factors can be found like this.

671:11x 61

741:3x 13x 19

882:2x 3x 3x 7x 7

244:2x 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 61 = 366

Therefore, the value for common factors is 366.

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 = 107003784888/(1x366)

LCM = 107003784888/366

LCM = 292360068

Thus, we can understand that the LCM of 671,741,882,244 is 292360068.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 741, 882, 244

1. What is the LCM of 671, 741, 882, 244?

Answer: LCM of 671, 741, 882, 244 is 292360068.

2. How to calculate the LCM of 671, 741, 882, 244?

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 671, 741, 882, 244.

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}.