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LCM of 6145, 9715

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


Find the LCM of 6145, 9715 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 6145, 9715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6145,9715

Given numbers are 6145,9715

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

The LCM of 6145,9715 is 11939735.

Find LCM of 6145,9715 with Prime Factorization


5 6145, 9715
1229, 1943

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

5 x 1229 x 1943 = 11939735

Therefore, the lowest common multiple of 6145,9715 is 11939735.

LCM Formula to Find Lowest Common Multiple of 6145,9715

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.

6145 x 9715 = 59698675

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.

6145 : 1, 5, 1229, 6145

9715 : 1, 5, 29, 67, 145, 335, 1943, 9715

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6145,9715, is 5.

Now, the common factors can be found like this.

6145:5x 1229

9715:5x 29x 67

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 = 59698675/(5x1)

LCM = 59698675/5

LCM = 11939735

Thus, we can understand that the LCM of 6145,9715 is 11939735.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6145, 9715

1. What is the LCM of 6145, 9715?

Answer: LCM of 6145, 9715 is 11939735.

2. How to calculate the LCM of 6145, 9715?

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 6145, 9715.

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}.