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LCM of 276, 169, 483, 884

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


Find the LCM of 276, 169, 483, 884 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 276, 169, 483, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,169,483,884

Given numbers are 276,169,483,884

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

The LCM of 276,169,483,884 is 5550636.

Find LCM of 276,169,483,884 with Prime Factorization


2 276, 169, 483, 884
2 138, 169, 483, 442
3 69, 169, 483, 221
13 23, 169, 161, 221
23 23, 13, 161, 17
1, 13, 7, 17

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

2 x 2 x 3 x 13 x 23 x 1 x 13 x 7 x 17 = 5550636

Therefore, the lowest common multiple of 276,169,483,884 is 5550636.

LCM Formula to Find Lowest Common Multiple of 276,169,483,884

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.

276 x 169 x 483 x 884 = 19915681968

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

169 : 1, 13, 169

483 : 1, 3, 7, 21, 23, 69, 161, 483

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,169,483,884, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

169:13x 13

483:3x 7x 23

884:2x 2x 13x 17

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 3x 13x 23 = 3588

Therefore, the value for common factors is 3588.

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 = 19915681968/(1x3588)

LCM = 19915681968/3588

LCM = 5550636

Thus, we can understand that the LCM of 276,169,483,884 is 5550636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 169, 483, 884

1. What is the LCM of 276, 169, 483, 884?

Answer: LCM of 276, 169, 483, 884 is 5550636.

2. How to calculate the LCM of 276, 169, 483, 884?

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 276, 169, 483, 884.

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}.