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LCM of 114, 894, 521, 754, 424

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


Find the LCM of 114, 894, 521, 754, 424 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 114, 894, 521, 754, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,894,521,754,424

Given numbers are 114,894,521,754,424

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

The LCM of 114,894,521,754,424 is 707303902344.

Find LCM of 114,894,521,754,424 with Prime Factorization


2 114, 894, 521, 754, 424
3 57, 447, 521, 377, 212
19, 149, 521, 377, 212

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

2 x 3 x 19 x 149 x 521 x 377 x 212 = 707303902344

Therefore, the lowest common multiple of 114,894,521,754,424 is 707303902344.

LCM Formula to Find Lowest Common Multiple of 114,894,521,754,424

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.

114 x 894 x 521 x 754 x 424 = 16975293656256

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

894 : 1, 2, 3, 6, 149, 298, 447, 894

521 : 1, 521

754 : 1, 2, 13, 26, 29, 58, 377, 754

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,894,521,754,424, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

894:2x 3x 149

521:521

754:2x 13x 29

424:2x 2x 2x 53

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 16975293656256/(1x24)

LCM = 16975293656256/24

LCM = 707303902344

Thus, we can understand that the LCM of 114,894,521,754,424 is 707303902344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 894, 521, 754, 424

1. What is the LCM of 114, 894, 521, 754, 424?

Answer: LCM of 114, 894, 521, 754, 424 is 707303902344.

2. How to calculate the LCM of 114, 894, 521, 754, 424?

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 114, 894, 521, 754, 424.

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}.