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LCM of 748, 990, 135, 279

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


Find the LCM of 748, 990, 135, 279 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, 990, 135, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,990,135,279

Given numbers are 748,990,135,279

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

The LCM of 748,990,135,279 is 3130380.

Find LCM of 748,990,135,279 with Prime Factorization


2 748, 990, 135, 279
3 374, 495, 135, 279
3 374, 165, 45, 93
5 374, 55, 15, 31
11 374, 11, 3, 31
34, 1, 3, 31

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

2 x 3 x 3 x 5 x 11 x 34 x 1 x 3 x 31 = 3130380

Therefore, the lowest common multiple of 748,990,135,279 is 3130380.

LCM Formula to Find Lowest Common Multiple of 748,990,135,279

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 990 x 135 x 279 = 27891685800

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

135 : 1, 3, 5, 9, 15, 27, 45, 135

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,990,135,279, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

990:2x 3x 3x 5x 11

135:3x 3x 3x 5

279:3x 3x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 5x 11 = 8910

Therefore, the value for common factors is 8910.

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 = 27891685800/(1x8910)

LCM = 27891685800/8910

LCM = 3130380

Thus, we can understand that the LCM of 748,990,135,279 is 3130380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 990, 135, 279

1. What is the LCM of 748, 990, 135, 279?

Answer: LCM of 748, 990, 135, 279 is 3130380.

2. How to calculate the LCM of 748, 990, 135, 279?

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, 990, 135, 279.

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}.