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LCM of 214, 913, 963, 935

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


Find the LCM of 214, 913, 963, 935 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 214, 913, 963, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,913,963,935

Given numbers are 214,913,963,935

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

The LCM of 214,913,963,935 is 149467230.

Find LCM of 214,913,963,935 with Prime Factorization


11 214, 913, 963, 935
107 214, 83, 963, 85
2, 83, 9, 85

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

11 x 107 x 2 x 83 x 9 x 85 = 149467230

Therefore, the lowest common multiple of 214,913,963,935 is 149467230.

LCM Formula to Find Lowest Common Multiple of 214,913,963,935

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.

214 x 913 x 963 x 935 = 175922929710

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.

214 : 1, 2, 107, 214

913 : 1, 11, 83, 913

963 : 1, 3, 9, 107, 321, 963

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,913,963,935, is 1.

Now, the common factors can be found like this.

214:2x 107

913:11x 83

963:3x 3x 107

935:5x 11x 17

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

11x 107 = 1177

Therefore, the value for common factors is 1177.

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 = 175922929710/(1x1177)

LCM = 175922929710/1177

LCM = 149467230

Thus, we can understand that the LCM of 214,913,963,935 is 149467230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 913, 963, 935

1. What is the LCM of 214, 913, 963, 935?

Answer: LCM of 214, 913, 963, 935 is 149467230.

2. How to calculate the LCM of 214, 913, 963, 935?

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 214, 913, 963, 935.

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}.