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LCM of 605, 237, 681, 726

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


Find the LCM of 605, 237, 681, 726 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 605, 237, 681, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,237,681,726

Given numbers are 605,237,681,726

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

The LCM of 605,237,681,726 is 65096790.

Find LCM of 605,237,681,726 with Prime Factorization


3 605, 237, 681, 726
11 605, 79, 227, 242
11 55, 79, 227, 22
5, 79, 227, 2

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

3 x 11 x 11 x 5 x 79 x 227 x 2 = 65096790

Therefore, the lowest common multiple of 605,237,681,726 is 65096790.

LCM Formula to Find Lowest Common Multiple of 605,237,681,726

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.

605 x 237 x 681 x 726 = 70890404310

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.

605 : 1, 5, 11, 55, 121, 605

237 : 1, 3, 79, 237

681 : 1, 3, 227, 681

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,237,681,726, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

237:3x 79

681:3x 227

726:2x 3x 11x 11

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

3x 3x 11x 11 = 1089

Therefore, the value for common factors is 1089.

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 = 70890404310/(1x1089)

LCM = 70890404310/1089

LCM = 65096790

Thus, we can understand that the LCM of 605,237,681,726 is 65096790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 237, 681, 726

1. What is the LCM of 605, 237, 681, 726?

Answer: LCM of 605, 237, 681, 726 is 65096790.

2. How to calculate the LCM of 605, 237, 681, 726?

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 605, 237, 681, 726.

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}.