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LCM of 990, 138, 828, 615, 973

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


Find the LCM of 990, 138, 828, 615, 973 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 990, 138, 828, 615, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,138,828,615,973

Given numbers are 990,138,828,615,973

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

The LCM of 990,138,828,615,973 is 1816727220.

Find LCM of 990,138,828,615,973 with Prime Factorization


2 990, 138, 828, 615, 973
3 495, 69, 414, 615, 973
3 165, 23, 138, 205, 973
5 55, 23, 46, 205, 973
23 11, 23, 46, 41, 973
11, 1, 2, 41, 973

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

2 x 3 x 3 x 5 x 23 x 11 x 1 x 2 x 41 x 973 = 1816727220

Therefore, the lowest common multiple of 990,138,828,615,973 is 1816727220.

LCM Formula to Find Lowest Common Multiple of 990,138,828,615,973

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.

990 x 138 x 828 x 615 x 973 = 67691256217200

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

138 : 1, 2, 3, 6, 23, 46, 69, 138

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

615 : 1, 3, 5, 15, 41, 123, 205, 615

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,138,828,615,973, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

138:2x 3x 23

828:2x 2x 3x 3x 23

615:3x 5x 41

973:7x 139

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 3x 3x 3x 3x 5x 23 = 37260

Therefore, the value for common factors is 37260.

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 = 67691256217200/(1x37260)

LCM = 67691256217200/37260

LCM = 1816727220

Thus, we can understand that the LCM of 990,138,828,615,973 is 1816727220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 138, 828, 615, 973

1. What is the LCM of 990, 138, 828, 615, 973?

Answer: LCM of 990, 138, 828, 615, 973 is 1816727220.

2. How to calculate the LCM of 990, 138, 828, 615, 973?

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 990, 138, 828, 615, 973.

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}.