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LCM of 312, 425, 542, 567

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


Find the LCM of 312, 425, 542, 567 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 312, 425, 542, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,425,542,567

Given numbers are 312,425,542,567

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

The LCM of 312,425,542,567 is 6791639400.

Find LCM of 312,425,542,567 with Prime Factorization


2 312, 425, 542, 567
3 156, 425, 271, 567
52, 425, 271, 189

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

2 x 3 x 52 x 425 x 271 x 189 = 6791639400

Therefore, the lowest common multiple of 312,425,542,567 is 6791639400.

LCM Formula to Find Lowest Common Multiple of 312,425,542,567

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.

312 x 425 x 542 x 567 = 40749836400

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

425 : 1, 5, 17, 25, 85, 425

542 : 1, 2, 271, 542

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,425,542,567, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

425:5x 5x 17

542:2x 271

567:3x 3x 3x 3x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 40749836400/(1x6)

LCM = 40749836400/6

LCM = 6791639400

Thus, we can understand that the LCM of 312,425,542,567 is 6791639400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 425, 542, 567

1. What is the LCM of 312, 425, 542, 567?

Answer: LCM of 312, 425, 542, 567 is 6791639400.

2. How to calculate the LCM of 312, 425, 542, 567?

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 312, 425, 542, 567.

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}.