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LCM of 832, 398, 962, 936

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


Find the LCM of 832, 398, 962, 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 832, 398, 962, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,398,962,936

Given numbers are 832,398,962,936

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

The LCM of 832,398,962,936 is 55134144.

Find LCM of 832,398,962,936 with Prime Factorization


2 832, 398, 962, 936
2 416, 199, 481, 468
2 208, 199, 481, 234
13 104, 199, 481, 117
8, 199, 37, 9

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

2 x 2 x 2 x 13 x 8 x 199 x 37 x 9 = 55134144

Therefore, the lowest common multiple of 832,398,962,936 is 55134144.

LCM Formula to Find Lowest Common Multiple of 832,398,962,936

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.

832 x 398 x 962 x 936 = 298165450752

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

398 : 1, 2, 199, 398

962 : 1, 2, 13, 26, 37, 74, 481, 962

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,398,962,936, is 2.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

398:2x 199

962:2x 13x 37

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 2x 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 298165450752/(2x2704)

LCM = 298165450752/5408

LCM = 55134144

Thus, we can understand that the LCM of 832,398,962,936 is 55134144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 398, 962, 936

1. What is the LCM of 832, 398, 962, 936?

Answer: LCM of 832, 398, 962, 936 is 55134144.

2. How to calculate the LCM of 832, 398, 962, 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 832, 398, 962, 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}.