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LCM of 591, 176, 870, 253

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


Find the LCM of 591, 176, 870, 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 591, 176, 870, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,176,870,253

Given numbers are 591,176,870,253

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

The LCM of 591,176,870,253 is 346893360.

Find LCM of 591,176,870,253 with Prime Factorization


2 591, 176, 870, 253
3 591, 88, 435, 253
11 197, 88, 145, 253
197, 8, 145, 23

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

2 x 3 x 11 x 197 x 8 x 145 x 23 = 346893360

Therefore, the lowest common multiple of 591,176,870,253 is 346893360.

LCM Formula to Find Lowest Common Multiple of 591,176,870,253

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.

591 x 176 x 870 x 253 = 22894961760

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.

591 : 1, 3, 197, 591

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,176,870,253, is 1.

Now, the common factors can be found like this.

591:3x 197

176:2x 2x 2x 2x 11

870:2x 3x 5x 29

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.

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 22894961760/(1x66)

LCM = 22894961760/66

LCM = 346893360

Thus, we can understand that the LCM of 591,176,870,253 is 346893360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 176, 870, 253

1. What is the LCM of 591, 176, 870, 253?

Answer: LCM of 591, 176, 870, 253 is 346893360.

2. How to calculate the LCM of 591, 176, 870, 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 591, 176, 870, 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}.