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LCM of 7467, 9671

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


Find the LCM of 7467, 9671 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 7467, 9671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7467,9671

Given numbers are 7467,9671

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

The LCM of 7467,9671 is 3800703.

Find LCM of 7467,9671 with Prime Factorization


19 7467, 9671
393, 509

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

19 x 393 x 509 = 3800703

Therefore, the lowest common multiple of 7467,9671 is 3800703.

LCM Formula to Find Lowest Common Multiple of 7467,9671

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.

7467 x 9671 = 72213357

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.

7467 : 1, 3, 19, 57, 131, 393, 2489, 7467

9671 : 1, 19, 509, 9671

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7467,9671, is 19.

Now, the common factors can be found like this.

7467:3x 19x 131

9671:19x 509

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 = 72213357/(19x1)

LCM = 72213357/19

LCM = 3800703

Thus, we can understand that the LCM of 7467,9671 is 3800703.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7467, 9671

1. What is the LCM of 7467, 9671?

Answer: LCM of 7467, 9671 is 3800703.

2. How to calculate the LCM of 7467, 9671?

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 7467, 9671.

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}.