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LCM of 644, 225, 510, 538, 739

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


Find the LCM of 644, 225, 510, 538, 739 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, 225, 510, 538, 739. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,225,510,538,739

Given numbers are 644,225,510,538,739

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

The LCM of 644,225,510,538,739 is 489681870300.

Find LCM of 644,225,510,538,739 with Prime Factorization


2 644, 225, 510, 538, 739
3 322, 225, 255, 269, 739
5 322, 75, 85, 269, 739
322, 15, 17, 269, 739

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

2 x 3 x 5 x 322 x 15 x 17 x 269 x 739 = 489681870300

Therefore, the lowest common multiple of 644,225,510,538,739 is 489681870300.

LCM Formula to Find Lowest Common Multiple of 644,225,510,538,739

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 225 x 510 x 538 x 739 = 29380912218000

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

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

538 : 1, 2, 269, 538

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,225,510,538,739, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

225:3x 3x 5x 5

510:2x 3x 5x 17

538:2x 269

739:739

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 5 = 60

Therefore, the value for common factors is 60.

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 = 29380912218000/(1x60)

LCM = 29380912218000/60

LCM = 489681870300

Thus, we can understand that the LCM of 644,225,510,538,739 is 489681870300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 225, 510, 538, 739

1. What is the LCM of 644, 225, 510, 538, 739?

Answer: LCM of 644, 225, 510, 538, 739 is 489681870300.

2. How to calculate the LCM of 644, 225, 510, 538, 739?

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, 225, 510, 538, 739.

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}.