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LCM of 894, 921, 868, 558, 854

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


Find the LCM of 894, 921, 868, 558, 854 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 894, 921, 868, 558, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 894,921,868,558,854

Given numbers are 894,921,868,558,854

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

The LCM of 894,921,868,558,854 is 21798003276.

Find LCM of 894,921,868,558,854 with Prime Factorization


2 894, 921, 868, 558, 854
3 447, 921, 434, 279, 427
7 149, 307, 434, 93, 427
31 149, 307, 62, 93, 61
149, 307, 2, 3, 61

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

2 x 3 x 7 x 31 x 149 x 307 x 2 x 3 x 61 = 21798003276

Therefore, the lowest common multiple of 894,921,868,558,854 is 21798003276.

LCM Formula to Find Lowest Common Multiple of 894,921,868,558,854

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.

894 x 921 x 868 x 558 x 854 = 340572003184224

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

921 : 1, 3, 307, 921

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

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,921,868,558,854, is 1.

Now, the common factors can be found like this.

894:2x 3x 149

921:3x 307

868:2x 2x 7x 31

558:2x 3x 3x 31

854:2x 7x 61

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 3x 3x 7x 31 = 15624

Therefore, the value for common factors is 15624.

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 = 340572003184224/(1x15624)

LCM = 340572003184224/15624

LCM = 21798003276

Thus, we can understand that the LCM of 894,921,868,558,854 is 21798003276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 894, 921, 868, 558, 854

1. What is the LCM of 894, 921, 868, 558, 854?

Answer: LCM of 894, 921, 868, 558, 854 is 21798003276.

2. How to calculate the LCM of 894, 921, 868, 558, 854?

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 894, 921, 868, 558, 854.

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}.