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LCM of 681, 279, 186, 949

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


Find the LCM of 681, 279, 186, 949 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 681, 279, 186, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,279,186,949

Given numbers are 681,279,186,949

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

The LCM of 681,279,186,949 is 120206034.

Find LCM of 681,279,186,949 with Prime Factorization


3 681, 279, 186, 949
31 227, 93, 62, 949
227, 3, 2, 949

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

3 x 31 x 227 x 3 x 2 x 949 = 120206034

Therefore, the lowest common multiple of 681,279,186,949 is 120206034.

LCM Formula to Find Lowest Common Multiple of 681,279,186,949

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.

681 x 279 x 186 x 949 = 33537483486

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.

681 : 1, 3, 227, 681

279 : 1, 3, 9, 31, 93, 279

186 : 1, 2, 3, 6, 31, 62, 93, 186

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,279,186,949, is 1.

Now, the common factors can be found like this.

681:3x 227

279:3x 3x 31

186:2x 3x 31

949:13x 73

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

3x 3x 31 = 279

Therefore, the value for common factors is 279.

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 = 33537483486/(1x279)

LCM = 33537483486/279

LCM = 120206034

Thus, we can understand that the LCM of 681,279,186,949 is 120206034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 279, 186, 949

1. What is the LCM of 681, 279, 186, 949?

Answer: LCM of 681, 279, 186, 949 is 120206034.

2. How to calculate the LCM of 681, 279, 186, 949?

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 681, 279, 186, 949.

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}.