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LCM of 959, 214, 445, 754, 774

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


Find the LCM of 959, 214, 445, 754, 774 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 959, 214, 445, 754, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 959,214,445,754,774

Given numbers are 959,214,445,754,774

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

The LCM of 959,214,445,754,774 is 13324309337430.

Find LCM of 959,214,445,754,774 with Prime Factorization


2 959, 214, 445, 754, 774
959, 107, 445, 377, 387

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

2 x 959 x 107 x 445 x 377 x 387 = 13324309337430

Therefore, the lowest common multiple of 959,214,445,754,774 is 13324309337430.

LCM Formula to Find Lowest Common Multiple of 959,214,445,754,774

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.

959 x 214 x 445 x 754 x 774 = 53297237349720

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.

959 : 1, 7, 137, 959

214 : 1, 2, 107, 214

445 : 1, 5, 89, 445

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

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,214,445,754,774, is 1.

Now, the common factors can be found like this.

959:7x 137

214:2x 107

445:5x 89

754:2x 13x 29

774:2x 3x 3x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53297237349720/(1x4)

LCM = 53297237349720/4

LCM = 13324309337430

Thus, we can understand that the LCM of 959,214,445,754,774 is 13324309337430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 959, 214, 445, 754, 774

1. What is the LCM of 959, 214, 445, 754, 774?

Answer: LCM of 959, 214, 445, 754, 774 is 13324309337430.

2. How to calculate the LCM of 959, 214, 445, 754, 774?

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 959, 214, 445, 754, 774.

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}.