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LCM of 539, 496, 895, 774

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


Find the LCM of 539, 496, 895, 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 539, 496, 895, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 539,496,895,774

Given numbers are 539,496,895,774

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

The LCM of 539,496,895,774 is 92598604560.

Find LCM of 539,496,895,774 with Prime Factorization


2 539, 496, 895, 774
539, 248, 895, 387

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

2 x 539 x 248 x 895 x 387 = 92598604560

Therefore, the lowest common multiple of 539,496,895,774 is 92598604560.

LCM Formula to Find Lowest Common Multiple of 539,496,895,774

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.

539 x 496 x 895 x 774 = 185197209120

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.

539 : 1, 7, 11, 49, 77, 539

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

895 : 1, 5, 179, 895

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 539,496,895,774, is 1.

Now, the common factors can be found like this.

539:7x 7x 11

496:2x 2x 2x 2x 31

895:5x 179

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 185197209120/(1x2)

LCM = 185197209120/2

LCM = 92598604560

Thus, we can understand that the LCM of 539,496,895,774 is 92598604560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 539, 496, 895, 774

1. What is the LCM of 539, 496, 895, 774?

Answer: LCM of 539, 496, 895, 774 is 92598604560.

2. How to calculate the LCM of 539, 496, 895, 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 539, 496, 895, 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}.