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LCM of 698, 566, 972, 975

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


Find the LCM of 698, 566, 972, 975 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 698, 566, 972, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 698,566,972,975

Given numbers are 698,566,972,975

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

The LCM of 698,566,972,975 is 31200495300.

Find LCM of 698,566,972,975 with Prime Factorization


2 698, 566, 972, 975
3 349, 283, 486, 975
349, 283, 162, 325

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

2 x 3 x 349 x 283 x 162 x 325 = 31200495300

Therefore, the lowest common multiple of 698,566,972,975 is 31200495300.

LCM Formula to Find Lowest Common Multiple of 698,566,972,975

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.

698 x 566 x 972 x 975 = 374405943600

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.

698 : 1, 2, 349, 698

566 : 1, 2, 283, 566

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,566,972,975, is 1.

Now, the common factors can be found like this.

698:2x 349

566:2x 283

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

975:3x 5x 5x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 374405943600/(1x12)

LCM = 374405943600/12

LCM = 31200495300

Thus, we can understand that the LCM of 698,566,972,975 is 31200495300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 698, 566, 972, 975

1. What is the LCM of 698, 566, 972, 975?

Answer: LCM of 698, 566, 972, 975 is 31200495300.

2. How to calculate the LCM of 698, 566, 972, 975?

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 698, 566, 972, 975.

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}.