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LCM of 402, 469, 277, 309

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


Find the LCM of 402, 469, 277, 309 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 402, 469, 277, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,469,277,309

Given numbers are 402,469,277,309

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

The LCM of 402,469,277,309 is 80286234.

Find LCM of 402,469,277,309 with Prime Factorization


3 402, 469, 277, 309
67 134, 469, 277, 103
2, 7, 277, 103

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

3 x 67 x 2 x 7 x 277 x 103 = 80286234

Therefore, the lowest common multiple of 402,469,277,309 is 80286234.

LCM Formula to Find Lowest Common Multiple of 402,469,277,309

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.

402 x 469 x 277 x 309 = 16137533034

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.

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

469 : 1, 7, 67, 469

277 : 1, 277

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,469,277,309, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

469:7x 67

277:277

309:3x 103

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

3x 67 = 201

Therefore, the value for common factors is 201.

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 = 16137533034/(1x201)

LCM = 16137533034/201

LCM = 80286234

Thus, we can understand that the LCM of 402,469,277,309 is 80286234.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 469, 277, 309

1. What is the LCM of 402, 469, 277, 309?

Answer: LCM of 402, 469, 277, 309 is 80286234.

2. How to calculate the LCM of 402, 469, 277, 309?

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 402, 469, 277, 309.

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}.