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LCM of 5307, 7627

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


Find the LCM of 5307, 7627 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 5307, 7627. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5307,7627

Given numbers are 5307,7627

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

The LCM of 5307,7627 is 1395741.

Find LCM of 5307,7627 with Prime Factorization


29 5307, 7627
183, 263

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

29 x 183 x 263 = 1395741

Therefore, the lowest common multiple of 5307,7627 is 1395741.

LCM Formula to Find Lowest Common Multiple of 5307,7627

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.

5307 x 7627 = 40476489

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.

5307 : 1, 3, 29, 61, 87, 183, 1769, 5307

7627 : 1, 29, 263, 7627

29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5307,7627, is 29.

Now, the common factors can be found like this.

5307:3x 29x 61

7627:29x 263

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 = 40476489/(29x1)

LCM = 40476489/29

LCM = 1395741

Thus, we can understand that the LCM of 5307,7627 is 1395741.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5307, 7627

1. What is the LCM of 5307, 7627?

Answer: LCM of 5307, 7627 is 1395741.

2. How to calculate the LCM of 5307, 7627?

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 5307, 7627.

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}.