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LCM of 251, 505, 202, 286

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


Find the LCM of 251, 505, 202, 286 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 251, 505, 202, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,505,202,286

Given numbers are 251,505,202,286

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

The LCM of 251,505,202,286 is 36251930.

Find LCM of 251,505,202,286 with Prime Factorization


2 251, 505, 202, 286
101 251, 505, 101, 143
251, 5, 1, 143

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

2 x 101 x 251 x 5 x 1 x 143 = 36251930

Therefore, the lowest common multiple of 251,505,202,286 is 36251930.

LCM Formula to Find Lowest Common Multiple of 251,505,202,286

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.

251 x 505 x 202 x 286 = 7322889860

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.

251 : 1, 251

505 : 1, 5, 101, 505

202 : 1, 2, 101, 202

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,505,202,286, is 1.

Now, the common factors can be found like this.

251:251

505:5x 101

202:2x 101

286:2x 11x 13

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

2x 101 = 202

Therefore, the value for common factors is 202.

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 = 7322889860/(1x202)

LCM = 7322889860/202

LCM = 36251930

Thus, we can understand that the LCM of 251,505,202,286 is 36251930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 505, 202, 286

1. What is the LCM of 251, 505, 202, 286?

Answer: LCM of 251, 505, 202, 286 is 36251930.

2. How to calculate the LCM of 251, 505, 202, 286?

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 251, 505, 202, 286.

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}.