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LCM of 896, 696, 841, 590

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


Find the LCM of 896, 696, 841, 590 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 896, 696, 841, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,696,841,590

Given numbers are 896,696,841,590

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

The LCM of 896,696,841,590 is 666879360.

Find LCM of 896,696,841,590 with Prime Factorization


2 896, 696, 841, 590
2 448, 348, 841, 295
2 224, 174, 841, 295
29 112, 87, 841, 295
112, 3, 29, 295

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

2 x 2 x 2 x 29 x 112 x 3 x 29 x 295 = 666879360

Therefore, the lowest common multiple of 896,696,841,590 is 666879360.

LCM Formula to Find Lowest Common Multiple of 896,696,841,590

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.

896 x 696 x 841 x 590 = 309432023040

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.

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

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

841 : 1, 29, 841

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,696,841,590, is 1.

Now, the common factors can be found like this.

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

696:2x 2x 2x 3x 29

841:29x 29

590:2x 5x 59

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 29 = 464

Therefore, the value for common factors is 464.

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 = 309432023040/(1x464)

LCM = 309432023040/464

LCM = 666879360

Thus, we can understand that the LCM of 896,696,841,590 is 666879360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 696, 841, 590

1. What is the LCM of 896, 696, 841, 590?

Answer: LCM of 896, 696, 841, 590 is 666879360.

2. How to calculate the LCM of 896, 696, 841, 590?

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 896, 696, 841, 590.

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}.