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LCM of 644, 253, 468, 635

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


Find the LCM of 644, 253, 468, 635 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 644, 253, 468, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,253,468,635

Given numbers are 644,253,468,635

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

The LCM of 644,253,468,635 is 526305780.

Find LCM of 644,253,468,635 with Prime Factorization


2 644, 253, 468, 635
2 322, 253, 234, 635
23 161, 253, 117, 635
7, 11, 117, 635

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

2 x 2 x 23 x 7 x 11 x 117 x 635 = 526305780

Therefore, the lowest common multiple of 644,253,468,635 is 526305780.

LCM Formula to Find Lowest Common Multiple of 644,253,468,635

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.

644 x 253 x 468 x 635 = 48420131760

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.

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

253 : 1, 11, 23, 253

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,253,468,635, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

253:11x 23

468:2x 2x 3x 3x 13

635:5x 127

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 23 = 92

Therefore, the value for common factors is 92.

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 = 48420131760/(1x92)

LCM = 48420131760/92

LCM = 526305780

Thus, we can understand that the LCM of 644,253,468,635 is 526305780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 253, 468, 635

1. What is the LCM of 644, 253, 468, 635?

Answer: LCM of 644, 253, 468, 635 is 526305780.

2. How to calculate the LCM of 644, 253, 468, 635?

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 644, 253, 468, 635.

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}.