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LCM of 662, 378, 820, 175

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


Find the LCM of 662, 378, 820, 175 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 662, 378, 820, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,378,820,175

Given numbers are 662,378,820,175

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

The LCM of 662,378,820,175 is 256491900.

Find LCM of 662,378,820,175 with Prime Factorization


2 662, 378, 820, 175
5 331, 189, 410, 175
7 331, 189, 82, 35
331, 27, 82, 5

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

2 x 5 x 7 x 331 x 27 x 82 x 5 = 256491900

Therefore, the lowest common multiple of 662,378,820,175 is 256491900.

LCM Formula to Find Lowest Common Multiple of 662,378,820,175

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.

662 x 378 x 820 x 175 = 35908866000

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.

662 : 1, 2, 331, 662

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,378,820,175, is 1.

Now, the common factors can be found like this.

662:2x 331

378:2x 3x 3x 3x 7

820:2x 2x 5x 41

175:5x 5x 7

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 5x 7 = 140

Therefore, the value for common factors is 140.

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 = 35908866000/(1x140)

LCM = 35908866000/140

LCM = 256491900

Thus, we can understand that the LCM of 662,378,820,175 is 256491900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 378, 820, 175

1. What is the LCM of 662, 378, 820, 175?

Answer: LCM of 662, 378, 820, 175 is 256491900.

2. How to calculate the LCM of 662, 378, 820, 175?

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 662, 378, 820, 175.

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}.