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LCM of 896, 656, 551, 868, 890

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


Find the LCM of 896, 656, 551, 868, 890 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, 656, 551, 868, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,656,551,868,890

Given numbers are 896,656,551,868,890

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

The LCM of 896,656,551,868,890 is 279231989120.

Find LCM of 896,656,551,868,890 with Prime Factorization


2 896, 656, 551, 868, 890
2 448, 328, 551, 434, 445
2 224, 164, 551, 217, 445
2 112, 82, 551, 217, 445
7 56, 41, 551, 217, 445
8, 41, 551, 31, 445

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

2 x 2 x 2 x 2 x 7 x 8 x 41 x 551 x 31 x 445 = 279231989120

Therefore, the lowest common multiple of 896,656,551,868,890 is 279231989120.

LCM Formula to Find Lowest Common Multiple of 896,656,551,868,890

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 656 x 551 x 868 x 890 = 250191862251520

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

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

551 : 1, 19, 29, 551

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,656,551,868,890, is 1.

Now, the common factors can be found like this.

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

656:2x 2x 2x 2x 41

551:19x 29

868:2x 2x 7x 31

890:2x 5x 89

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 2x 2x 7 = 896

Therefore, the value for common factors is 896.

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 = 250191862251520/(1x896)

LCM = 250191862251520/896

LCM = 279231989120

Thus, we can understand that the LCM of 896,656,551,868,890 is 279231989120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 656, 551, 868, 890

1. What is the LCM of 896, 656, 551, 868, 890?

Answer: LCM of 896, 656, 551, 868, 890 is 279231989120.

2. How to calculate the LCM of 896, 656, 551, 868, 890?

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, 656, 551, 868, 890.

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}.