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LCM of 1649, 5141

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


Find the LCM of 1649, 5141 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, 5141. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1649,5141

Given numbers are 1649,5141

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

The LCM of 1649,5141 is 87397.

Find LCM of 1649,5141 with Prime Factorization


97 1649, 5141
17, 53

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

97 x 17 x 53 = 87397

Therefore, the lowest common multiple of 1649,5141 is 87397.

LCM Formula to Find Lowest Common Multiple of 1649,5141

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 5141 = 8477509

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

5141 : 1, 53, 97, 5141

97 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1649,5141, is 97.

Now, the common factors can be found like this.

1649:17x 97

5141:53x 97

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 = 8477509/(97x1)

LCM = 8477509/97

LCM = 87397

Thus, we can understand that the LCM of 1649,5141 is 87397.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1649, 5141

1. What is the LCM of 1649, 5141?

Answer: LCM of 1649, 5141 is 87397.

2. How to calculate the LCM of 1649, 5141?

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, 5141.

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}.