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LCM of 908, 271, 448, 714

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


Find the LCM of 908, 271, 448, 714 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 908, 271, 448, 714. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,271,448,714

Given numbers are 908,271,448,714

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

The LCM of 908,271,448,714 is 1405540416.

Find LCM of 908,271,448,714 with Prime Factorization


2 908, 271, 448, 714
2 454, 271, 224, 357
7 227, 271, 112, 357
227, 271, 16, 51

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

2 x 2 x 7 x 227 x 271 x 16 x 51 = 1405540416

Therefore, the lowest common multiple of 908,271,448,714 is 1405540416.

LCM Formula to Find Lowest Common Multiple of 908,271,448,714

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.

908 x 271 x 448 x 714 = 78710263296

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.

908 : 1, 2, 4, 227, 454, 908

271 : 1, 271

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,271,448,714, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

271:271

448:2x 2x 2x 2x 2x 2x 7

714:2x 3x 7x 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 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 78710263296/(1x56)

LCM = 78710263296/56

LCM = 1405540416

Thus, we can understand that the LCM of 908,271,448,714 is 1405540416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 271, 448, 714

1. What is the LCM of 908, 271, 448, 714?

Answer: LCM of 908, 271, 448, 714 is 1405540416.

2. How to calculate the LCM of 908, 271, 448, 714?

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 908, 271, 448, 714.

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}.