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LCM of 757, 721, 721

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


Find the LCM of 757, 721, 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 757, 721, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,721,721

Given numbers are 757,721,721

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

The LCM of 757,721,721 is 545797.

Find LCM of 757,721,721 with Prime Factorization


7 757, 721, 721
103 757, 103, 103
757, 1, 1

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

7 x 103 x 757 x 1 x 1 = 545797

Therefore, the lowest common multiple of 757,721,721 is 545797.

LCM Formula to Find Lowest Common Multiple of 757,721,721

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.

757 x 721 x 721 = 393519637

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.

757 : 1, 757

721 : 1, 7, 103, 721

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,721,721, is 1.

Now, the common factors can be found like this.

757:757

721:7x 103

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.

7x 103 = 721

Therefore, the value for common factors is 721.

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 = 393519637/(1x721)

LCM = 393519637/721

LCM = 545797

Thus, we can understand that the LCM of 757,721,721 is 545797.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 757, 721, 721

1. What is the LCM of 757, 721, 721?

Answer: LCM of 757, 721, 721 is 545797.

2. How to calculate the LCM of 757, 721, 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 757, 721, 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}.