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LCM of 676, 513, 932, 221

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


Find the LCM of 676, 513, 932, 221 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 676, 513, 932, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,513,932,221

Given numbers are 676,513,932,221

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

The LCM of 676,513,932,221 is 1373627268.

Find LCM of 676,513,932,221 with Prime Factorization


2 676, 513, 932, 221
2 338, 513, 466, 221
13 169, 513, 233, 221
13, 513, 233, 17

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

2 x 2 x 13 x 13 x 513 x 233 x 17 = 1373627268

Therefore, the lowest common multiple of 676,513,932,221 is 1373627268.

LCM Formula to Find Lowest Common Multiple of 676,513,932,221

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.

676 x 513 x 932 x 221 = 71428617936

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

513 : 1, 3, 9, 19, 27, 57, 171, 513

932 : 1, 2, 4, 233, 466, 932

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,513,932,221, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

513:3x 3x 3x 19

932:2x 2x 233

221:13x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 71428617936/(1x52)

LCM = 71428617936/52

LCM = 1373627268

Thus, we can understand that the LCM of 676,513,932,221 is 1373627268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 513, 932, 221

1. What is the LCM of 676, 513, 932, 221?

Answer: LCM of 676, 513, 932, 221 is 1373627268.

2. How to calculate the LCM of 676, 513, 932, 221?

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 676, 513, 932, 221.

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}.