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LCM of 457, 567, 588, 644

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


Find the LCM of 457, 567, 588, 644 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 457, 567, 588, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 457,567,588,644

Given numbers are 457,567,588,644

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

The LCM of 457,567,588,644 is 166872636.

Find LCM of 457,567,588,644 with Prime Factorization


2 457, 567, 588, 644
2 457, 567, 294, 322
3 457, 567, 147, 161
7 457, 189, 49, 161
457, 27, 7, 23

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

2 x 2 x 3 x 7 x 457 x 27 x 7 x 23 = 166872636

Therefore, the lowest common multiple of 457,567,588,644 is 166872636.

LCM Formula to Find Lowest Common Multiple of 457,567,588,644

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.

457 x 567 x 588 x 644 = 98121109968

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.

457 : 1, 457

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,567,588,644, is 1.

Now, the common factors can be found like this.

457:457

567:3x 3x 3x 3x 7

588:2x 2x 3x 7x 7

644:2x 2x 7x 23

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 98121109968/(1x588)

LCM = 98121109968/588

LCM = 166872636

Thus, we can understand that the LCM of 457,567,588,644 is 166872636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 457, 567, 588, 644

1. What is the LCM of 457, 567, 588, 644?

Answer: LCM of 457, 567, 588, 644 is 166872636.

2. How to calculate the LCM of 457, 567, 588, 644?

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 457, 567, 588, 644.

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}.