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LCM of 904, 190, 340, 748

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


Find the LCM of 904, 190, 340, 748 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 904, 190, 340, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,190,340,748

Given numbers are 904,190,340,748

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

The LCM of 904,190,340,748 is 16059560.

Find LCM of 904,190,340,748 with Prime Factorization


2 904, 190, 340, 748
2 452, 95, 170, 374
5 226, 95, 85, 187
17 226, 19, 17, 187
226, 19, 1, 11

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

2 x 2 x 5 x 17 x 226 x 19 x 1 x 11 = 16059560

Therefore, the lowest common multiple of 904,190,340,748 is 16059560.

LCM Formula to Find Lowest Common Multiple of 904,190,340,748

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.

904 x 190 x 340 x 748 = 43682003200

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

190 : 1, 2, 5, 10, 19, 38, 95, 190

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,190,340,748, is 2.

Now, the common factors can be found like this.

904:2x 2x 2x 113

190:2x 5x 19

340:2x 2x 5x 17

748:2x 2x 11x 17

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 5x 17 = 1360

Therefore, the value for common factors is 1360.

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 = 43682003200/(2x1360)

LCM = 43682003200/2720

LCM = 16059560

Thus, we can understand that the LCM of 904,190,340,748 is 16059560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 190, 340, 748

1. What is the LCM of 904, 190, 340, 748?

Answer: LCM of 904, 190, 340, 748 is 16059560.

2. How to calculate the LCM of 904, 190, 340, 748?

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 904, 190, 340, 748.

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}.