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LCM of 215, 327, 347, 662, 763

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


Find the LCM of 215, 327, 347, 662, 763 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, 327, 347, 662, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,327,347,662,763

Given numbers are 215,327,347,662,763

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

The LCM of 215,327,347,662,763 is 113050299390.

Find LCM of 215,327,347,662,763 with Prime Factorization


109 215, 327, 347, 662, 763
215, 3, 347, 662, 7

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

109 x 215 x 3 x 347 x 662 x 7 = 113050299390

Therefore, the lowest common multiple of 215,327,347,662,763 is 113050299390.

LCM Formula to Find Lowest Common Multiple of 215,327,347,662,763

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 327 x 347 x 662 x 763 = 12322482633510

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

327 : 1, 3, 109, 327

347 : 1, 347

662 : 1, 2, 331, 662

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,327,347,662,763, is 1.

Now, the common factors can be found like this.

215:5x 43

327:3x 109

347:347

662:2x 331

763:7x 109

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

109 = 109

Therefore, the value for common factors is 109.

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 = 12322482633510/(1x109)

LCM = 12322482633510/109

LCM = 113050299390

Thus, we can understand that the LCM of 215,327,347,662,763 is 113050299390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 327, 347, 662, 763

1. What is the LCM of 215, 327, 347, 662, 763?

Answer: LCM of 215, 327, 347, 662, 763 is 113050299390.

2. How to calculate the LCM of 215, 327, 347, 662, 763?

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, 327, 347, 662, 763.

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}.