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LCM of 268, 692, 726, 898

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


Find the LCM of 268, 692, 726, 898 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 268, 692, 726, 898. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 268,692,726,898

Given numbers are 268,692,726,898

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

The LCM of 268,692,726,898 is 7556729268.

Find LCM of 268,692,726,898 with Prime Factorization


2 268, 692, 726, 898
2 134, 346, 363, 449
67, 173, 363, 449

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

2 x 2 x 67 x 173 x 363 x 449 = 7556729268

Therefore, the lowest common multiple of 268,692,726,898 is 7556729268.

LCM Formula to Find Lowest Common Multiple of 268,692,726,898

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.

268 x 692 x 726 x 898 = 120907668288

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.

268 : 1, 2, 4, 67, 134, 268

692 : 1, 2, 4, 173, 346, 692

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

898 : 1, 2, 449, 898

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,692,726,898, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

692:2x 2x 173

726:2x 3x 11x 11

898:2x 449

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 120907668288/(2x8)

LCM = 120907668288/16

LCM = 7556729268

Thus, we can understand that the LCM of 268,692,726,898 is 7556729268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 268, 692, 726, 898

1. What is the LCM of 268, 692, 726, 898?

Answer: LCM of 268, 692, 726, 898 is 7556729268.

2. How to calculate the LCM of 268, 692, 726, 898?

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 268, 692, 726, 898.

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}.