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LCM of 315, 175, 402, 201

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


Find the LCM of 315, 175, 402, 201 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 315, 175, 402, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,175,402,201

Given numbers are 315,175,402,201

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

The LCM of 315,175,402,201 is 211050.

Find LCM of 315,175,402,201 with Prime Factorization


3 315, 175, 402, 201
5 105, 175, 134, 67
7 21, 35, 134, 67
67 3, 5, 134, 67
3, 5, 2, 1

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

3 x 5 x 7 x 67 x 3 x 5 x 2 x 1 = 211050

Therefore, the lowest common multiple of 315,175,402,201 is 211050.

LCM Formula to Find Lowest Common Multiple of 315,175,402,201

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.

315 x 175 x 402 x 201 = 4454210250

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,175,402,201, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

175:5x 5x 7

402:2x 3x 67

201:3x 67

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

3x 3x 5x 7x 67 = 21105

Therefore, the value for common factors is 21105.

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 = 4454210250/(1x21105)

LCM = 4454210250/21105

LCM = 211050

Thus, we can understand that the LCM of 315,175,402,201 is 211050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 175, 402, 201

1. What is the LCM of 315, 175, 402, 201?

Answer: LCM of 315, 175, 402, 201 is 211050.

2. How to calculate the LCM of 315, 175, 402, 201?

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 315, 175, 402, 201.

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}.