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LCM of 274, 979, 662, 453, 208

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


Find the LCM of 274, 979, 662, 453, 208 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 274, 979, 662, 453, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,979,662,453,208

Given numbers are 274,979,662,453,208

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

The LCM of 274,979,662,453,208 is 4183047437712.

Find LCM of 274,979,662,453,208 with Prime Factorization


2 274, 979, 662, 453, 208
137, 979, 331, 453, 104

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

2 x 137 x 979 x 331 x 453 x 104 = 4183047437712

Therefore, the lowest common multiple of 274,979,662,453,208 is 4183047437712.

LCM Formula to Find Lowest Common Multiple of 274,979,662,453,208

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.

274 x 979 x 662 x 453 x 208 = 16732189750848

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.

274 : 1, 2, 137, 274

979 : 1, 11, 89, 979

662 : 1, 2, 331, 662

453 : 1, 3, 151, 453

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,979,662,453,208, is 1.

Now, the common factors can be found like this.

274:2x 137

979:11x 89

662:2x 331

453:3x 151

208:2x 2x 2x 2x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16732189750848/(1x4)

LCM = 16732189750848/4

LCM = 4183047437712

Thus, we can understand that the LCM of 274,979,662,453,208 is 4183047437712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 979, 662, 453, 208

1. What is the LCM of 274, 979, 662, 453, 208?

Answer: LCM of 274, 979, 662, 453, 208 is 4183047437712.

2. How to calculate the LCM of 274, 979, 662, 453, 208?

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 274, 979, 662, 453, 208.

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}.