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LCM of 832, 949, 182, 257

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


Find the LCM of 832, 949, 182, 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 832, 949, 182, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,949,182,257

Given numbers are 832,949,182,257

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

The LCM of 832,949,182,257 is 109264064.

Find LCM of 832,949,182,257 with Prime Factorization


2 832, 949, 182, 257
13 416, 949, 91, 257
32, 73, 7, 257

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

2 x 13 x 32 x 73 x 7 x 257 = 109264064

Therefore, the lowest common multiple of 832,949,182,257 is 109264064.

LCM Formula to Find Lowest Common Multiple of 832,949,182,257

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.

832 x 949 x 182 x 257 = 36931253632

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

949 : 1, 13, 73, 949

182 : 1, 2, 7, 13, 14, 26, 91, 182

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,949,182,257, is 1.

Now, the common factors can be found like this.

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

949:13x 73

182:2x 7x 13

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.

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 36931253632/(1x338)

LCM = 36931253632/338

LCM = 109264064

Thus, we can understand that the LCM of 832,949,182,257 is 109264064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 949, 182, 257

1. What is the LCM of 832, 949, 182, 257?

Answer: LCM of 832, 949, 182, 257 is 109264064.

2. How to calculate the LCM of 832, 949, 182, 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 832, 949, 182, 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}.