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LCM of 253, 526, 526, 381

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


Find the LCM of 253, 526, 526, 381 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 253, 526, 526, 381. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,526,526,381

Given numbers are 253,526,526,381

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

The LCM of 253,526,526,381 is 50702718.

Find LCM of 253,526,526,381 with Prime Factorization


2 253, 526, 526, 381
263 253, 263, 263, 381
253, 1, 1, 381

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

2 x 263 x 253 x 1 x 1 x 381 = 50702718

Therefore, the lowest common multiple of 253,526,526,381 is 50702718.

LCM Formula to Find Lowest Common Multiple of 253,526,526,381

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.

253 x 526 x 526 x 381 = 26669629668

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.

253 : 1, 11, 23, 253

526 : 1, 2, 263, 526

526 : 1, 2, 263, 526

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,526,526,381, is 1.

Now, the common factors can be found like this.

253:11x 23

526:2x 263

526:2x 263

381:3x 127

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

2x 263 = 526

Therefore, the value for common factors is 526.

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 = 26669629668/(1x526)

LCM = 26669629668/526

LCM = 50702718

Thus, we can understand that the LCM of 253,526,526,381 is 50702718.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 526, 526, 381

1. What is the LCM of 253, 526, 526, 381?

Answer: LCM of 253, 526, 526, 381 is 50702718.

2. How to calculate the LCM of 253, 526, 526, 381?

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 253, 526, 526, 381.

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}.