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LCM of 614, 89, 690

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


Find the LCM of 614, 89, 690 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 614, 89, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,89,690

Given numbers are 614,89,690

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

The LCM of 614,89,690 is 18852870.

Find LCM of 614,89,690 with Prime Factorization


2 614, 89, 690
307, 89, 345

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

2 x 307 x 89 x 345 = 18852870

Therefore, the lowest common multiple of 614,89,690 is 18852870.

LCM Formula to Find Lowest Common Multiple of 614,89,690

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.

614 x 89 x 690 = 37705740

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.

614 : 1, 2, 307, 614

89 : 1, 89

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,89,690, is 1.

Now, the common factors can be found like this.

614:2x 307

89:89

690:2x 3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 37705740/(1x2)

LCM = 37705740/2

LCM = 18852870

Thus, we can understand that the LCM of 614,89,690 is 18852870.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 614, 89, 690

1. What is the LCM of 614, 89, 690?

Answer: LCM of 614, 89, 690 is 18852870.

2. How to calculate the LCM of 614, 89, 690?

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 614, 89, 690.

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}.