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LCM of 486, 861, 574, 987

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


Find the LCM of 486, 861, 574, 987 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 486, 861, 574, 987. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,861,574,987

Given numbers are 486,861,574,987

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

The LCM of 486,861,574,987 is 6555654.

Find LCM of 486,861,574,987 with Prime Factorization


2 486, 861, 574, 987
3 243, 861, 287, 987
7 81, 287, 287, 329
41 81, 41, 41, 47
81, 1, 1, 47

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

2 x 3 x 7 x 41 x 81 x 1 x 1 x 47 = 6555654

Therefore, the lowest common multiple of 486,861,574,987 is 6555654.

LCM Formula to Find Lowest Common Multiple of 486,861,574,987

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.

486 x 861 x 574 x 987 = 237065559948

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

861 : 1, 3, 7, 21, 41, 123, 287, 861

574 : 1, 2, 7, 14, 41, 82, 287, 574

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,861,574,987, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

861:3x 7x 41

574:2x 7x 41

987:3x 7x 47

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

2x 3x 3x 7x 7x 41 = 36162

Therefore, the value for common factors is 36162.

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 = 237065559948/(1x36162)

LCM = 237065559948/36162

LCM = 6555654

Thus, we can understand that the LCM of 486,861,574,987 is 6555654.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 486, 861, 574, 987

1. What is the LCM of 486, 861, 574, 987?

Answer: LCM of 486, 861, 574, 987 is 6555654.

2. How to calculate the LCM of 486, 861, 574, 987?

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 486, 861, 574, 987.

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}.