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LCM of 327, 490, 545, 721

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


Find the LCM of 327, 490, 545, 721 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 327, 490, 545, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,490,545,721

Given numbers are 327,490,545,721

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

The LCM of 327,490,545,721 is 16503690.

Find LCM of 327,490,545,721 with Prime Factorization


5 327, 490, 545, 721
7 327, 98, 109, 721
109 327, 14, 109, 103
3, 14, 1, 103

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

5 x 7 x 109 x 3 x 14 x 1 x 103 = 16503690

Therefore, the lowest common multiple of 327,490,545,721 is 16503690.

LCM Formula to Find Lowest Common Multiple of 327,490,545,721

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.

327 x 490 x 545 x 721 = 62961577350

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.

327 : 1, 3, 109, 327

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

545 : 1, 5, 109, 545

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,490,545,721, is 1.

Now, the common factors can be found like this.

327:3x 109

490:2x 5x 7x 7

545:5x 109

721:7x 103

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

5x 7x 109 = 3815

Therefore, the value for common factors is 3815.

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 = 62961577350/(1x3815)

LCM = 62961577350/3815

LCM = 16503690

Thus, we can understand that the LCM of 327,490,545,721 is 16503690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 490, 545, 721

1. What is the LCM of 327, 490, 545, 721?

Answer: LCM of 327, 490, 545, 721 is 16503690.

2. How to calculate the LCM of 327, 490, 545, 721?

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 327, 490, 545, 721.

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}.