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LCM of 612, 285, 375, 689, 412

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


Find the LCM of 612, 285, 375, 689, 412 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 612, 285, 375, 689, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,285,375,689,412

Given numbers are 612,285,375,689,412

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

The LCM of 612,285,375,689,412 is 103150534500.

Find LCM of 612,285,375,689,412 with Prime Factorization


2 612, 285, 375, 689, 412
2 306, 285, 375, 689, 206
3 153, 285, 375, 689, 103
5 51, 95, 125, 689, 103
51, 19, 25, 689, 103

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

2 x 2 x 3 x 5 x 51 x 19 x 25 x 689 x 103 = 103150534500

Therefore, the lowest common multiple of 612,285,375,689,412 is 103150534500.

LCM Formula to Find Lowest Common Multiple of 612,285,375,689,412

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.

612 x 285 x 375 x 689 x 412 = 18567096210000

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

285 : 1, 3, 5, 15, 19, 57, 95, 285

375 : 1, 3, 5, 15, 25, 75, 125, 375

689 : 1, 13, 53, 689

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,285,375,689,412, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

285:3x 5x 19

375:3x 5x 5x 5

689:13x 53

412:2x 2x 103

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 18567096210000/(1x180)

LCM = 18567096210000/180

LCM = 103150534500

Thus, we can understand that the LCM of 612,285,375,689,412 is 103150534500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 285, 375, 689, 412

1. What is the LCM of 612, 285, 375, 689, 412?

Answer: LCM of 612, 285, 375, 689, 412 is 103150534500.

2. How to calculate the LCM of 612, 285, 375, 689, 412?

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 612, 285, 375, 689, 412.

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}.