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LCM of 578, 143, 163, 538, 251

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


Find the LCM of 578, 143, 163, 538, 251 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 578, 143, 163, 538, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,143,163,538,251

Given numbers are 578,143,163,538,251

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

The LCM of 578,143,163,538,251 is 909656614438.

Find LCM of 578,143,163,538,251 with Prime Factorization


2 578, 143, 163, 538, 251
289, 143, 163, 269, 251

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

2 x 289 x 143 x 163 x 269 x 251 = 909656614438

Therefore, the lowest common multiple of 578,143,163,538,251 is 909656614438.

LCM Formula to Find Lowest Common Multiple of 578,143,163,538,251

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.

578 x 143 x 163 x 538 x 251 = 1819313228876

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.

578 : 1, 2, 17, 34, 289, 578

143 : 1, 11, 13, 143

163 : 1, 163

538 : 1, 2, 269, 538

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,143,163,538,251, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

143:11x 13

163:163

538:2x 269

251:251

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

2 = 2

Therefore, the value for common factors is 2.

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 = 1819313228876/(1x2)

LCM = 1819313228876/2

LCM = 909656614438

Thus, we can understand that the LCM of 578,143,163,538,251 is 909656614438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 143, 163, 538, 251

1. What is the LCM of 578, 143, 163, 538, 251?

Answer: LCM of 578, 143, 163, 538, 251 is 909656614438.

2. How to calculate the LCM of 578, 143, 163, 538, 251?

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 578, 143, 163, 538, 251.

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}.