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LCM of 898, 676, 187, 564, 696

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


Find the LCM of 898, 676, 187, 564, 696 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 898, 676, 187, 564, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 898,676,187,564,696

Given numbers are 898,676,187,564,696

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

The LCM of 898,676,187,564,696 is 464175003864.

Find LCM of 898,676,187,564,696 with Prime Factorization


2 898, 676, 187, 564, 696
2 449, 338, 187, 282, 348
3 449, 169, 187, 141, 174
449, 169, 187, 47, 58

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

2 x 2 x 3 x 449 x 169 x 187 x 47 x 58 = 464175003864

Therefore, the lowest common multiple of 898,676,187,564,696 is 464175003864.

LCM Formula to Find Lowest Common Multiple of 898,676,187,564,696

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.

898 x 676 x 187 x 564 x 696 = 44560800370944

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.

898 : 1, 2, 449, 898

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

187 : 1, 11, 17, 187

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,676,187,564,696, is 1.

Now, the common factors can be found like this.

898:2x 449

676:2x 2x 13x 13

187:11x 17

564:2x 2x 3x 47

696:2x 2x 2x 3x 29

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 44560800370944/(1x96)

LCM = 44560800370944/96

LCM = 464175003864

Thus, we can understand that the LCM of 898,676,187,564,696 is 464175003864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 898, 676, 187, 564, 696

1. What is the LCM of 898, 676, 187, 564, 696?

Answer: LCM of 898, 676, 187, 564, 696 is 464175003864.

2. How to calculate the LCM of 898, 676, 187, 564, 696?

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 898, 676, 187, 564, 696.

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}.