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LCM of 748, 100, 192, 144

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


Find the LCM of 748, 100, 192, 144 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, 100, 192, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,100,192,144

Given numbers are 748,100,192,144

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

The LCM of 748,100,192,144 is 2692800.

Find LCM of 748,100,192,144 with Prime Factorization


2 748, 100, 192, 144
2 374, 50, 96, 72
2 187, 25, 48, 36
2 187, 25, 24, 18
3 187, 25, 12, 9
187, 25, 4, 3

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

2 x 2 x 2 x 2 x 3 x 187 x 25 x 4 x 3 = 2692800

Therefore, the lowest common multiple of 748,100,192,144 is 2692800.

LCM Formula to Find Lowest Common Multiple of 748,100,192,144

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 100 x 192 x 144 = 2068070400

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

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,100,192,144, is 4.

Now, the common factors can be found like this.

748:2x 2x 11x 17

100:2x 2x 5x 5

192:2x 2x 2x 2x 2x 2x 3

144:2x 2x 2x 2x 3x 3

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 2068070400/(4x192)

LCM = 2068070400/768

LCM = 2692800

Thus, we can understand that the LCM of 748,100,192,144 is 2692800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 100, 192, 144

1. What is the LCM of 748, 100, 192, 144?

Answer: LCM of 748, 100, 192, 144 is 2692800.

2. How to calculate the LCM of 748, 100, 192, 144?

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, 100, 192, 144.

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}.