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LCM of 972, 562, 761

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


Find the LCM of 972, 562, 761 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, 562, 761. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 972,562,761

Given numbers are 972,562,761

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

The LCM of 972,562,761 is 207853452.

Find LCM of 972,562,761 with Prime Factorization


2 972, 562, 761
486, 281, 761

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

2 x 486 x 281 x 761 = 207853452

Therefore, the lowest common multiple of 972,562,761 is 207853452.

LCM Formula to Find Lowest Common Multiple of 972,562,761

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 562 x 761 = 415706904

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

562 : 1, 2, 281, 562

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,562,761, is 1.

Now, the common factors can be found like this.

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

562:2x 281

761:761

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

2 = 2

Therefore, the value for common factors is 2.

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 = 415706904/(1x2)

LCM = 415706904/2

LCM = 207853452

Thus, we can understand that the LCM of 972,562,761 is 207853452.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 972, 562, 761

1. What is the LCM of 972, 562, 761?

Answer: LCM of 972, 562, 761 is 207853452.

2. How to calculate the LCM of 972, 562, 761?

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, 562, 761.

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}.