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LCM of 215, 807, 737, 402

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


Find the LCM of 215, 807, 737, 402 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 215, 807, 737, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,807,737,402

Given numbers are 215,807,737,402

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

The LCM of 215,807,737,402 is 255746370.

Find LCM of 215,807,737,402 with Prime Factorization


3 215, 807, 737, 402
67 215, 269, 737, 134
215, 269, 11, 2

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

3 x 67 x 215 x 269 x 11 x 2 = 255746370

Therefore, the lowest common multiple of 215,807,737,402 is 255746370.

LCM Formula to Find Lowest Common Multiple of 215,807,737,402

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.

215 x 807 x 737 x 402 = 51405020370

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.

215 : 1, 5, 43, 215

807 : 1, 3, 269, 807

737 : 1, 11, 67, 737

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,807,737,402, is 1.

Now, the common factors can be found like this.

215:5x 43

807:3x 269

737:11x 67

402:2x 3x 67

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 = 51405020370/(1x201)

LCM = 51405020370/201

LCM = 255746370

Thus, we can understand that the LCM of 215,807,737,402 is 255746370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 807, 737, 402

1. What is the LCM of 215, 807, 737, 402?

Answer: LCM of 215, 807, 737, 402 is 255746370.

2. How to calculate the LCM of 215, 807, 737, 402?

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 215, 807, 737, 402.

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}.