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LCM of 201, 125, 103, 965, 538

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


Find the LCM of 201, 125, 103, 965, 538 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 201, 125, 103, 965, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,125,103,965,538

Given numbers are 201,125,103,965,538

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

The LCM of 201,125,103,965,538 is 268709412750.

Find LCM of 201,125,103,965,538 with Prime Factorization


5 201, 125, 103, 965, 538
201, 25, 103, 193, 538

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

5 x 201 x 25 x 103 x 193 x 538 = 268709412750

Therefore, the lowest common multiple of 201,125,103,965,538 is 268709412750.

LCM Formula to Find Lowest Common Multiple of 201,125,103,965,538

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.

201 x 125 x 103 x 965 x 538 = 1343547063750

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.

201 : 1, 3, 67, 201

125 : 1, 5, 25, 125

103 : 1, 103

965 : 1, 5, 193, 965

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,125,103,965,538, is 1.

Now, the common factors can be found like this.

201:3x 67

125:5x 5x 5

103:103

965:5x 193

538:2x 269

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

5 = 5

Therefore, the value for common factors is 5.

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 = 1343547063750/(1x5)

LCM = 1343547063750/5

LCM = 268709412750

Thus, we can understand that the LCM of 201,125,103,965,538 is 268709412750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 125, 103, 965, 538

1. What is the LCM of 201, 125, 103, 965, 538?

Answer: LCM of 201, 125, 103, 965, 538 is 268709412750.

2. How to calculate the LCM of 201, 125, 103, 965, 538?

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 201, 125, 103, 965, 538.

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}.