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LCM of 893, 214, 783, 904

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


Find the LCM of 893, 214, 783, 904 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 893, 214, 783, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,214,783,904

Given numbers are 893,214,783,904

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

The LCM of 893,214,783,904 is 67634055432.

Find LCM of 893,214,783,904 with Prime Factorization


2 893, 214, 783, 904
893, 107, 783, 452

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

2 x 893 x 107 x 783 x 452 = 67634055432

Therefore, the lowest common multiple of 893,214,783,904 is 67634055432.

LCM Formula to Find Lowest Common Multiple of 893,214,783,904

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.

893 x 214 x 783 x 904 = 135268110864

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.

893 : 1, 19, 47, 893

214 : 1, 2, 107, 214

783 : 1, 3, 9, 27, 29, 87, 261, 783

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,214,783,904, is 1.

Now, the common factors can be found like this.

893:19x 47

214:2x 107

783:3x 3x 3x 29

904:2x 2x 2x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 135268110864/(1x2)

LCM = 135268110864/2

LCM = 67634055432

Thus, we can understand that the LCM of 893,214,783,904 is 67634055432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 214, 783, 904

1. What is the LCM of 893, 214, 783, 904?

Answer: LCM of 893, 214, 783, 904 is 67634055432.

2. How to calculate the LCM of 893, 214, 783, 904?

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 893, 214, 783, 904.

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}.