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LCM of 972, 265, 608, 783

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


Find the LCM of 972, 265, 608, 783 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 972, 265, 608, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,265,608,783

Given numbers are 972,265,608,783

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

The LCM of 972,265,608,783 is 1135412640.

Find LCM of 972,265,608,783 with Prime Factorization


2 972, 265, 608, 783
2 486, 265, 304, 783
3 243, 265, 152, 783
3 81, 265, 152, 261
3 27, 265, 152, 87
9, 265, 152, 29

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

2 x 2 x 3 x 3 x 3 x 9 x 265 x 152 x 29 = 1135412640

Therefore, the lowest common multiple of 972,265,608,783 is 1135412640.

LCM Formula to Find Lowest Common Multiple of 972,265,608,783

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.

972 x 265 x 608 x 783 = 122624565120

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

265 : 1, 5, 53, 265

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,265,608,783, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

265:5x 53

608:2x 2x 2x 2x 2x 19

783:3x 3x 3x 29

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 3 = 108

Therefore, the value for common factors is 108.

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 = 122624565120/(1x108)

LCM = 122624565120/108

LCM = 1135412640

Thus, we can understand that the LCM of 972,265,608,783 is 1135412640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 265, 608, 783

1. What is the LCM of 972, 265, 608, 783?

Answer: LCM of 972, 265, 608, 783 is 1135412640.

2. How to calculate the LCM of 972, 265, 608, 783?

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 972, 265, 608, 783.

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}.