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LCM of 321, 469, 402, 940

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


Find the LCM of 321, 469, 402, 940 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 321, 469, 402, 940. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,469,402,940

Given numbers are 321,469,402,940

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

The LCM of 321,469,402,940 is 141516060.

Find LCM of 321,469,402,940 with Prime Factorization


2 321, 469, 402, 940
3 321, 469, 201, 470
67 107, 469, 67, 470
107, 7, 1, 470

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

2 x 3 x 67 x 107 x 7 x 1 x 470 = 141516060

Therefore, the lowest common multiple of 321,469,402,940 is 141516060.

LCM Formula to Find Lowest Common Multiple of 321,469,402,940

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.

321 x 469 x 402 x 940 = 56889456120

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.

321 : 1, 3, 107, 321

469 : 1, 7, 67, 469

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

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,469,402,940, is 1.

Now, the common factors can be found like this.

321:3x 107

469:7x 67

402:2x 3x 67

940:2x 2x 5x 47

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 67 = 402

Therefore, the value for common factors is 402.

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 = 56889456120/(1x402)

LCM = 56889456120/402

LCM = 141516060

Thus, we can understand that the LCM of 321,469,402,940 is 141516060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 469, 402, 940

1. What is the LCM of 321, 469, 402, 940?

Answer: LCM of 321, 469, 402, 940 is 141516060.

2. How to calculate the LCM of 321, 469, 402, 940?

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 321, 469, 402, 940.

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}.