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LCM of 402, 201, 845, 189

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


Find the LCM of 402, 201, 845, 189 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, 201, 845, 189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,201,845,189

Given numbers are 402,201,845,189

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

The LCM of 402,201,845,189 is 21400470.

Find LCM of 402,201,845,189 with Prime Factorization


3 402, 201, 845, 189
67 134, 67, 845, 63
2, 1, 845, 63

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

3 x 67 x 2 x 1 x 845 x 63 = 21400470

Therefore, the lowest common multiple of 402,201,845,189 is 21400470.

LCM Formula to Find Lowest Common Multiple of 402,201,845,189

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 201 x 845 x 189 = 12904483410

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

201 : 1, 3, 67, 201

845 : 1, 5, 13, 65, 169, 845

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,201,845,189, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

201:3x 67

845:5x 13x 13

189:3x 3x 3x 7

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

3x 3x 67 = 603

Therefore, the value for common factors is 603.

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 = 12904483410/(1x603)

LCM = 12904483410/603

LCM = 21400470

Thus, we can understand that the LCM of 402,201,845,189 is 21400470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 201, 845, 189

1. What is the LCM of 402, 201, 845, 189?

Answer: LCM of 402, 201, 845, 189 is 21400470.

2. How to calculate the LCM of 402, 201, 845, 189?

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, 201, 845, 189.

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}.