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LCM of 908, 509, 454, 896

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


Find the LCM of 908, 509, 454, 896 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, 509, 454, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,509,454,896

Given numbers are 908,509,454,896

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

The LCM of 908,509,454,896 is 103526528.

Find LCM of 908,509,454,896 with Prime Factorization


2 908, 509, 454, 896
2 454, 509, 227, 448
227 227, 509, 227, 224
1, 509, 1, 224

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

2 x 2 x 227 x 1 x 509 x 1 x 224 = 103526528

Therefore, the lowest common multiple of 908,509,454,896 is 103526528.

LCM Formula to Find Lowest Common Multiple of 908,509,454,896

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 509 x 454 x 896 = 188004174848

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

509 : 1, 509

454 : 1, 2, 227, 454

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,509,454,896, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

509:509

454:2x 227

896:2x 2x 2x 2x 2x 2x 2x 7

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 227 = 1816

Therefore, the value for common factors is 1816.

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 = 188004174848/(1x1816)

LCM = 188004174848/1816

LCM = 103526528

Thus, we can understand that the LCM of 908,509,454,896 is 103526528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 509, 454, 896

1. What is the LCM of 908, 509, 454, 896?

Answer: LCM of 908, 509, 454, 896 is 103526528.

2. How to calculate the LCM of 908, 509, 454, 896?

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, 509, 454, 896.

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}.