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LCM of 968, 641, 936, 232

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


Find the LCM of 968, 641, 936, 232 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 968, 641, 936, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 968,641,936,232

Given numbers are 968,641,936,232

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

The LCM of 968,641,936,232 is 2105315784.

Find LCM of 968,641,936,232 with Prime Factorization


2 968, 641, 936, 232
2 484, 641, 468, 116
2 242, 641, 234, 58
121, 641, 117, 29

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

2 x 2 x 2 x 121 x 641 x 117 x 29 = 2105315784

Therefore, the lowest common multiple of 968,641,936,232 is 2105315784.

LCM Formula to Find Lowest Common Multiple of 968,641,936,232

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.

968 x 641 x 936 x 232 = 134740210176

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

641 : 1, 641

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,641,936,232, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

641:641

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

232:2x 2x 2x 29

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 2 = 64

Therefore, the value for common factors is 64.

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 = 134740210176/(1x64)

LCM = 134740210176/64

LCM = 2105315784

Thus, we can understand that the LCM of 968,641,936,232 is 2105315784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 968, 641, 936, 232

1. What is the LCM of 968, 641, 936, 232?

Answer: LCM of 968, 641, 936, 232 is 2105315784.

2. How to calculate the LCM of 968, 641, 936, 232?

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 968, 641, 936, 232.

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}.