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LCM of 748, 468, 644

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


Find the LCM of 748, 468, 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 748, 468, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,468,644

Given numbers are 748,468,644

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

The LCM of 748,468,644 is 14090076.

Find LCM of 748,468,644 with Prime Factorization


2 748, 468, 644
2 374, 234, 322
187, 117, 161

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

2 x 2 x 187 x 117 x 161 = 14090076

Therefore, the lowest common multiple of 748,468,644 is 14090076.

LCM Formula to Find Lowest Common Multiple of 748,468,644

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.

748 x 468 x 644 = 225441216

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,468,644, is 4.

Now, the common factors can be found like this.

748:2x 2x 11x 17

468:2x 2x 3x 3x 13

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 2 = 4

Therefore, the value for common factors is 4.

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 = 225441216/(4x4)

LCM = 225441216/16

LCM = 14090076

Thus, we can understand that the LCM of 748,468,644 is 14090076.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 748, 468, 644

1. What is the LCM of 748, 468, 644?

Answer: LCM of 748, 468, 644 is 14090076.

2. How to calculate the LCM of 748, 468, 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 748, 468, 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}.