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LCM of 271, 296, 360, 645

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


Find the LCM of 271, 296, 360, 645 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 271, 296, 360, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,296,360,645

Given numbers are 271,296,360,645

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

The LCM of 271,296,360,645 is 155217960.

Find LCM of 271,296,360,645 with Prime Factorization


2 271, 296, 360, 645
2 271, 148, 180, 645
2 271, 74, 90, 645
3 271, 37, 45, 645
5 271, 37, 15, 215
271, 37, 3, 43

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

2 x 2 x 2 x 3 x 5 x 271 x 37 x 3 x 43 = 155217960

Therefore, the lowest common multiple of 271,296,360,645 is 155217960.

LCM Formula to Find Lowest Common Multiple of 271,296,360,645

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.

271 x 296 x 360 x 645 = 18626155200

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.

271 : 1, 271

296 : 1, 2, 4, 8, 37, 74, 148, 296

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,296,360,645, is 1.

Now, the common factors can be found like this.

271:271

296:2x 2x 2x 37

360:2x 2x 2x 3x 3x 5

645:3x 5x 43

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

2x 2x 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 18626155200/(1x120)

LCM = 18626155200/120

LCM = 155217960

Thus, we can understand that the LCM of 271,296,360,645 is 155217960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 296, 360, 645

1. What is the LCM of 271, 296, 360, 645?

Answer: LCM of 271, 296, 360, 645 is 155217960.

2. How to calculate the LCM of 271, 296, 360, 645?

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 271, 296, 360, 645.

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}.