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LCM of 4345, 7189

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


Find the LCM of 4345, 7189 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 4345, 7189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 4345,7189

Given numbers are 4345,7189

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

The LCM of 4345,7189 is 395395.

Find LCM of 4345,7189 with Prime Factorization


79 4345, 7189
55, 91

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

79 x 55 x 91 = 395395

Therefore, the lowest common multiple of 4345,7189 is 395395.

LCM Formula to Find Lowest Common Multiple of 4345,7189

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.

4345 x 7189 = 31236205

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.

4345 : 1, 5, 11, 55, 79, 395, 869, 4345

7189 : 1, 7, 13, 79, 91, 553, 1027, 7189

79 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 4345,7189, is 79.

Now, the common factors can be found like this.

4345:5x 11x 79

7189:7x 13x 79

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 = 31236205/(79x1)

LCM = 31236205/79

LCM = 395395

Thus, we can understand that the LCM of 4345,7189 is 395395.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 4345, 7189

1. What is the LCM of 4345, 7189?

Answer: LCM of 4345, 7189 is 395395.

2. How to calculate the LCM of 4345, 7189?

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 4345, 7189.

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}.