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LCM of 103, 721, 385

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


Find the LCM of 103, 721, 385 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 103, 721, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,721,385

Given numbers are 103,721,385

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

The LCM of 103,721,385 is 39655.

Find LCM of 103,721,385 with Prime Factorization


7 103, 721, 385
103 103, 103, 55
1, 1, 55

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

7 x 103 x 1 x 1 x 55 = 39655

Therefore, the lowest common multiple of 103,721,385 is 39655.

LCM Formula to Find Lowest Common Multiple of 103,721,385

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.

103 x 721 x 385 = 28591255

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.

103 : 1, 103

721 : 1, 7, 103, 721

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,721,385, is 1.

Now, the common factors can be found like this.

103:103

721:7x 103

385:5x 7x 11

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 = 28591255/(1x721)

LCM = 28591255/721

LCM = 39655

Thus, we can understand that the LCM of 103,721,385 is 39655.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 103, 721, 385

1. What is the LCM of 103, 721, 385?

Answer: LCM of 103, 721, 385 is 39655.

2. How to calculate the LCM of 103, 721, 385?

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 103, 721, 385.

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}.