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LCM of 5735, 1036

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


Find the LCM of 5735, 1036 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 5735, 1036. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5735,1036

Given numbers are 5735,1036

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

The LCM of 5735,1036 is 160580.

Find LCM of 5735,1036 with Prime Factorization


37 5735, 1036
155, 28

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

37 x 155 x 28 = 160580

Therefore, the lowest common multiple of 5735,1036 is 160580.

LCM Formula to Find Lowest Common Multiple of 5735,1036

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.

5735 x 1036 = 5941460

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.

5735 : 1, 5, 31, 37, 155, 185, 1147, 5735

1036 : 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036

37 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5735,1036, is 37.

Now, the common factors can be found like this.

5735:5x 31x 37

1036:2x 2x 7x 37

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 = 5941460/(37x1)

LCM = 5941460/37

LCM = 160580

Thus, we can understand that the LCM of 5735,1036 is 160580.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5735, 1036

1. What is the LCM of 5735, 1036?

Answer: LCM of 5735, 1036 is 160580.

2. How to calculate the LCM of 5735, 1036?

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 5735, 1036.

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}.