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LCM of 382, 123, 977, 913, 253

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


Find the LCM of 382, 123, 977, 913, 253 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 382, 123, 977, 913, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,123,977,913,253

Given numbers are 382,123,977,913,253

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

The LCM of 382,123,977,913,253 is 963965856678.

Find LCM of 382,123,977,913,253 with Prime Factorization


11 382, 123, 977, 913, 253
382, 123, 977, 83, 23

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

11 x 382 x 123 x 977 x 83 x 23 = 963965856678

Therefore, the lowest common multiple of 382,123,977,913,253 is 963965856678.

LCM Formula to Find Lowest Common Multiple of 382,123,977,913,253

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.

382 x 123 x 977 x 913 x 253 = 10603624423458

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.

382 : 1, 2, 191, 382

123 : 1, 3, 41, 123

977 : 1, 977

913 : 1, 11, 83, 913

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,123,977,913,253, is 1.

Now, the common factors can be found like this.

382:2x 191

123:3x 41

977:977

913:11x 83

253:11x 23

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

11 = 11

Therefore, the value for common factors is 11.

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 = 10603624423458/(1x11)

LCM = 10603624423458/11

LCM = 963965856678

Thus, we can understand that the LCM of 382,123,977,913,253 is 963965856678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 123, 977, 913, 253

1. What is the LCM of 382, 123, 977, 913, 253?

Answer: LCM of 382, 123, 977, 913, 253 is 963965856678.

2. How to calculate the LCM of 382, 123, 977, 913, 253?

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 382, 123, 977, 913, 253.

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}.