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LCM of 657, 452, 288, 235

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


Find the LCM of 657, 452, 288, 235 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 657, 452, 288, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,452,288,235

Given numbers are 657,452,288,235

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

The LCM of 657,452,288,235 is 558292320.

Find LCM of 657,452,288,235 with Prime Factorization


2 657, 452, 288, 235
2 657, 226, 144, 235
3 657, 113, 72, 235
3 219, 113, 24, 235
73, 113, 8, 235

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

2 x 2 x 3 x 3 x 73 x 113 x 8 x 235 = 558292320

Therefore, the lowest common multiple of 657,452,288,235 is 558292320.

LCM Formula to Find Lowest Common Multiple of 657,452,288,235

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.

657 x 452 x 288 x 235 = 20098523520

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.

657 : 1, 3, 9, 73, 219, 657

452 : 1, 2, 4, 113, 226, 452

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,452,288,235, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

452:2x 2x 113

288:2x 2x 2x 2x 2x 3x 3

235:5x 47

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 20098523520/(1x36)

LCM = 20098523520/36

LCM = 558292320

Thus, we can understand that the LCM of 657,452,288,235 is 558292320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 452, 288, 235

1. What is the LCM of 657, 452, 288, 235?

Answer: LCM of 657, 452, 288, 235 is 558292320.

2. How to calculate the LCM of 657, 452, 288, 235?

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 657, 452, 288, 235.

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}.