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LCM of 782, 120, 463, 972

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


Find the LCM of 782, 120, 463, 972 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 782, 120, 463, 972. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,120,463,972

Given numbers are 782,120,463,972

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

The LCM of 782,120,463,972 is 1759640760.

Find LCM of 782,120,463,972 with Prime Factorization


2 782, 120, 463, 972
2 391, 60, 463, 486
3 391, 30, 463, 243
391, 10, 463, 81

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

2 x 2 x 3 x 391 x 10 x 463 x 81 = 1759640760

Therefore, the lowest common multiple of 782,120,463,972 is 1759640760.

LCM Formula to Find Lowest Common Multiple of 782,120,463,972

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.

782 x 120 x 463 x 972 = 42231378240

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

463 : 1, 463

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,120,463,972, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

120:2x 2x 2x 3x 5

463:463

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

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 42231378240/(1x24)

LCM = 42231378240/24

LCM = 1759640760

Thus, we can understand that the LCM of 782,120,463,972 is 1759640760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 782, 120, 463, 972

1. What is the LCM of 782, 120, 463, 972?

Answer: LCM of 782, 120, 463, 972 is 1759640760.

2. How to calculate the LCM of 782, 120, 463, 972?

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 782, 120, 463, 972.

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}.