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LCM of 382, 257, 965, 257

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


Find the LCM of 382, 257, 965, 257 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, 257, 965, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,257,965,257

Given numbers are 382,257,965,257

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

The LCM of 382,257,965,257 is 94737910.

Find LCM of 382,257,965,257 with Prime Factorization


257 382, 257, 965, 257
382, 1, 965, 1

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

257 x 382 x 1 x 965 x 1 = 94737910

Therefore, the lowest common multiple of 382,257,965,257 is 94737910.

LCM Formula to Find Lowest Common Multiple of 382,257,965,257

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 257 x 965 x 257 = 24347642870

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

257 : 1, 257

965 : 1, 5, 193, 965

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,257,965,257, is 1.

Now, the common factors can be found like this.

382:2x 191

257:257

965:5x 193

257:257

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

257 = 257

Therefore, the value for common factors is 257.

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 = 24347642870/(1x257)

LCM = 24347642870/257

LCM = 94737910

Thus, we can understand that the LCM of 382,257,965,257 is 94737910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 257, 965, 257

1. What is the LCM of 382, 257, 965, 257?

Answer: LCM of 382, 257, 965, 257 is 94737910.

2. How to calculate the LCM of 382, 257, 965, 257?

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, 257, 965, 257.

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}.