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LCM of 293, 201, 119, 657

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


Find the LCM of 293, 201, 119, 657 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 293, 201, 119, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,201,119,657

Given numbers are 293,201,119,657

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

The LCM of 293,201,119,657 is 1534810473.

Find LCM of 293,201,119,657 with Prime Factorization


3 293, 201, 119, 657
293, 67, 119, 219

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

3 x 293 x 67 x 119 x 219 = 1534810473

Therefore, the lowest common multiple of 293,201,119,657 is 1534810473.

LCM Formula to Find Lowest Common Multiple of 293,201,119,657

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.

293 x 201 x 119 x 657 = 4604431419

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.

293 : 1, 293

201 : 1, 3, 67, 201

119 : 1, 7, 17, 119

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,201,119,657, is 1.

Now, the common factors can be found like this.

293:293

201:3x 67

119:7x 17

657:3x 3x 73

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4604431419/(1x3)

LCM = 4604431419/3

LCM = 1534810473

Thus, we can understand that the LCM of 293,201,119,657 is 1534810473.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 201, 119, 657

1. What is the LCM of 293, 201, 119, 657?

Answer: LCM of 293, 201, 119, 657 is 1534810473.

2. How to calculate the LCM of 293, 201, 119, 657?

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 293, 201, 119, 657.

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}.