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LCM of 534, 946, 259, 262

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


Find the LCM of 534, 946, 259, 262 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 534, 946, 259, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,946,259,262

Given numbers are 534,946,259,262

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

The LCM of 534,946,259,262 is 8569854678.

Find LCM of 534,946,259,262 with Prime Factorization


2 534, 946, 259, 262
267, 473, 259, 131

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

2 x 267 x 473 x 259 x 131 = 8569854678

Therefore, the lowest common multiple of 534,946,259,262 is 8569854678.

LCM Formula to Find Lowest Common Multiple of 534,946,259,262

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.

534 x 946 x 259 x 262 = 34279418712

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

946 : 1, 2, 11, 22, 43, 86, 473, 946

259 : 1, 7, 37, 259

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,946,259,262, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

946:2x 11x 43

259:7x 37

262:2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 34279418712/(1x4)

LCM = 34279418712/4

LCM = 8569854678

Thus, we can understand that the LCM of 534,946,259,262 is 8569854678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 946, 259, 262

1. What is the LCM of 534, 946, 259, 262?

Answer: LCM of 534, 946, 259, 262 is 8569854678.

2. How to calculate the LCM of 534, 946, 259, 262?

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 534, 946, 259, 262.

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}.