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LCM of 883, 698, 776, 936

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


Find the LCM of 883, 698, 776, 936 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 883, 698, 776, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 883,698,776,936

Given numbers are 883,698,776,936

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

The LCM of 883,698,776,936 is 27979098264.

Find LCM of 883,698,776,936 with Prime Factorization


2 883, 698, 776, 936
2 883, 349, 388, 468
2 883, 349, 194, 234
883, 349, 97, 117

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

2 x 2 x 2 x 883 x 349 x 97 x 117 = 27979098264

Therefore, the lowest common multiple of 883,698,776,936 is 27979098264.

LCM Formula to Find Lowest Common Multiple of 883,698,776,936

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.

883 x 698 x 776 x 936 = 447665572224

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.

883 : 1, 883

698 : 1, 2, 349, 698

776 : 1, 2, 4, 8, 97, 194, 388, 776

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 883,698,776,936, is 1.

Now, the common factors can be found like this.

883:883

698:2x 349

776:2x 2x 2x 97

936:2x 2x 2x 3x 3x 13

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 2 = 16

Therefore, the value for common factors is 16.

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 = 447665572224/(1x16)

LCM = 447665572224/16

LCM = 27979098264

Thus, we can understand that the LCM of 883,698,776,936 is 27979098264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 883, 698, 776, 936

1. What is the LCM of 883, 698, 776, 936?

Answer: LCM of 883, 698, 776, 936 is 27979098264.

2. How to calculate the LCM of 883, 698, 776, 936?

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 883, 698, 776, 936.

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}.