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LCM of 972, 975, 247, 845

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


Find the LCM of 972, 975, 247, 845 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, 975, 247, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,975,247,845

Given numbers are 972,975,247,845

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

The LCM of 972,975,247,845 is 78027300.

Find LCM of 972,975,247,845 with Prime Factorization


3 972, 975, 247, 845
5 324, 325, 247, 845
13 324, 65, 247, 169
324, 5, 19, 13

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

3 x 5 x 13 x 324 x 5 x 19 x 13 = 78027300

Therefore, the lowest common multiple of 972,975,247,845 is 78027300.

LCM Formula to Find Lowest Common Multiple of 972,975,247,845

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 975 x 247 x 845 = 197799205500

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

247 : 1, 13, 19, 247

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,975,247,845, is 1.

Now, the common factors can be found like this.

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

975:3x 5x 5x 13

247:13x 19

845:5x 13x 13

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

3x 5x 13x 13 = 2535

Therefore, the value for common factors is 2535.

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 = 197799205500/(1x2535)

LCM = 197799205500/2535

LCM = 78027300

Thus, we can understand that the LCM of 972,975,247,845 is 78027300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 972, 975, 247, 845

1. What is the LCM of 972, 975, 247, 845?

Answer: LCM of 972, 975, 247, 845 is 78027300.

2. How to calculate the LCM of 972, 975, 247, 845?

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, 975, 247, 845.

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}.