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LCM of 1649, 1241

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


Find the LCM of 1649, 1241 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 1649, 1241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1649,1241

Given numbers are 1649,1241

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

The LCM of 1649,1241 is 120377.

Find LCM of 1649,1241 with Prime Factorization


17 1649, 1241
97, 73

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

17 x 97 x 73 = 120377

Therefore, the lowest common multiple of 1649,1241 is 120377.

LCM Formula to Find Lowest Common Multiple of 1649,1241

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.

1649 x 1241 = 2046409

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.

1649 : 1, 17, 97, 1649

1241 : 1, 17, 73, 1241

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1649,1241, is 17.

Now, the common factors can be found like this.

1649:17x 97

1241:17x 73

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

= 1

Therefore, the value for common factors is 1.

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 = 2046409/(17x1)

LCM = 2046409/17

LCM = 120377

Thus, we can understand that the LCM of 1649,1241 is 120377.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1649, 1241

1. What is the LCM of 1649, 1241?

Answer: LCM of 1649, 1241 is 120377.

2. How to calculate the LCM of 1649, 1241?

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 1649, 1241.

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}.