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LCM of 425, 391, 119, 544

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


Find the LCM of 425, 391, 119, 544 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 425, 391, 119, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 425,391,119,544

Given numbers are 425,391,119,544

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

The LCM of 425,391,119,544 is 2189600.

Find LCM of 425,391,119,544 with Prime Factorization


17 425, 391, 119, 544
25, 23, 7, 32

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

17 x 25 x 23 x 7 x 32 = 2189600

Therefore, the lowest common multiple of 425,391,119,544 is 2189600.

LCM Formula to Find Lowest Common Multiple of 425,391,119,544

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.

425 x 391 x 119 x 544 = 10757504800

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.

425 : 1, 5, 17, 25, 85, 425

391 : 1, 17, 23, 391

119 : 1, 7, 17, 119

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,391,119,544, is 17.

Now, the common factors can be found like this.

425:5x 5x 17

391:17x 23

119:7x 17

544:2x 2x 2x 2x 2x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 10757504800/(17x289)

LCM = 10757504800/4913

LCM = 2189600

Thus, we can understand that the LCM of 425,391,119,544 is 2189600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 425, 391, 119, 544

1. What is the LCM of 425, 391, 119, 544?

Answer: LCM of 425, 391, 119, 544 is 2189600.

2. How to calculate the LCM of 425, 391, 119, 544?

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 425, 391, 119, 544.

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}.