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LCM of 279, 834, 416, 139

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


Find the LCM of 279, 834, 416, 139 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 279, 834, 416, 139. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,834,416,139

Given numbers are 279,834,416,139

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

The LCM of 279,834,416,139 is 16132896.

Find LCM of 279,834,416,139 with Prime Factorization


2 279, 834, 416, 139
3 279, 417, 208, 139
139 93, 139, 208, 139
93, 1, 208, 1

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

2 x 3 x 139 x 93 x 1 x 208 x 1 = 16132896

Therefore, the lowest common multiple of 279,834,416,139 is 16132896.

LCM Formula to Find Lowest Common Multiple of 279,834,416,139

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.

279 x 834 x 416 x 139 = 13454835264

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.

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

139 : 1, 139

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,834,416,139, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

834:2x 3x 139

416:2x 2x 2x 2x 2x 13

139:139

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 139 = 834

Therefore, the value for common factors is 834.

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 = 13454835264/(1x834)

LCM = 13454835264/834

LCM = 16132896

Thus, we can understand that the LCM of 279,834,416,139 is 16132896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 834, 416, 139

1. What is the LCM of 279, 834, 416, 139?

Answer: LCM of 279, 834, 416, 139 is 16132896.

2. How to calculate the LCM of 279, 834, 416, 139?

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 279, 834, 416, 139.

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}.