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LCM of 251, 765, 678, 369

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


Find the LCM of 251, 765, 678, 369 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, 765, 678, 369. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,765,678,369

Given numbers are 251,765,678,369

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

The LCM of 251,765,678,369 is 1779210990.

Find LCM of 251,765,678,369 with Prime Factorization


3 251, 765, 678, 369
3 251, 255, 226, 123
251, 85, 226, 41

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

3 x 3 x 251 x 85 x 226 x 41 = 1779210990

Therefore, the lowest common multiple of 251,765,678,369 is 1779210990.

LCM Formula to Find Lowest Common Multiple of 251,765,678,369

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 765 x 678 x 369 = 48038696730

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

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

678 : 1, 2, 3, 6, 113, 226, 339, 678

369 : 1, 3, 9, 41, 123, 369

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,765,678,369, is 1.

Now, the common factors can be found like this.

251:251

765:3x 3x 5x 17

678:2x 3x 113

369:3x 3x 41

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 48038696730/(1x27)

LCM = 48038696730/27

LCM = 1779210990

Thus, we can understand that the LCM of 251,765,678,369 is 1779210990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 765, 678, 369

1. What is the LCM of 251, 765, 678, 369?

Answer: LCM of 251, 765, 678, 369 is 1779210990.

2. How to calculate the LCM of 251, 765, 678, 369?

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, 765, 678, 369.

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}.