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LCM of 251, 505, 505, 598

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


Find the LCM of 251, 505, 505, 598 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, 505, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,505,505,598

Given numbers are 251,505,505,598

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

The LCM of 251,505,505,598 is 75799490.

Find LCM of 251,505,505,598 with Prime Factorization


5 251, 505, 505, 598
101 251, 101, 101, 598
251, 1, 1, 598

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

5 x 101 x 251 x 1 x 1 x 598 = 75799490

Therefore, the lowest common multiple of 251,505,505,598 is 75799490.

LCM Formula to Find Lowest Common Multiple of 251,505,505,598

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 505 x 598 = 38278742450

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

505 : 1, 5, 101, 505

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,505,505,598, is 1.

Now, the common factors can be found like this.

251:251

505:5x 101

505:5x 101

598:2x 13x 23

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

5x 101 = 505

Therefore, the value for common factors is 505.

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 = 38278742450/(1x505)

LCM = 38278742450/505

LCM = 75799490

Thus, we can understand that the LCM of 251,505,505,598 is 75799490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 505, 505, 598

1. What is the LCM of 251, 505, 505, 598?

Answer: LCM of 251, 505, 505, 598 is 75799490.

2. How to calculate the LCM of 251, 505, 505, 598?

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, 505, 598.

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}.