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LCM of 201, 754, 356, 507

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


Find the LCM of 201, 754, 356, 507 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, 754, 356, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,754,356,507

Given numbers are 201,754,356,507

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

The LCM of 201,754,356,507 is 350695956.

Find LCM of 201,754,356,507 with Prime Factorization


2 201, 754, 356, 507
3 201, 377, 178, 507
13 67, 377, 178, 169
67, 29, 178, 13

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

2 x 3 x 13 x 67 x 29 x 178 x 13 = 350695956

Therefore, the lowest common multiple of 201,754,356,507 is 350695956.

LCM Formula to Find Lowest Common Multiple of 201,754,356,507

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 754 x 356 x 507 = 27354284568

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

356 : 1, 2, 4, 89, 178, 356

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,754,356,507, is 1.

Now, the common factors can be found like this.

201:3x 67

754:2x 13x 29

356:2x 2x 89

507:3x 13x 13

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 27354284568/(1x78)

LCM = 27354284568/78

LCM = 350695956

Thus, we can understand that the LCM of 201,754,356,507 is 350695956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 754, 356, 507

1. What is the LCM of 201, 754, 356, 507?

Answer: LCM of 201, 754, 356, 507 is 350695956.

2. How to calculate the LCM of 201, 754, 356, 507?

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, 754, 356, 507.

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}.