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LCM of 7, 748, 119, 408

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


Find the LCM of 7, 748, 119, 408 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 7, 748, 119, 408. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7,748,119,408

Given numbers are 7,748,119,408

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

The LCM of 7,748,119,408 is 31416.

Find LCM of 7,748,119,408 with Prime Factorization


2 7, 748, 119, 408
2 7, 374, 119, 204
7 7, 187, 119, 102
17 1, 187, 17, 102
1, 11, 1, 6

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

2 x 2 x 7 x 17 x 1 x 11 x 1 x 6 = 31416

Therefore, the lowest common multiple of 7,748,119,408 is 31416.

LCM Formula to Find Lowest Common Multiple of 7,748,119,408

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.

7 x 748 x 119 x 408 = 254218272

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.

7 : 1, 7

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

119 : 1, 7, 17, 119

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7,748,119,408, is 1.

Now, the common factors can be found like this.

7:7

748:2x 2x 11x 17

119:7x 17

408:2x 2x 2x 3x 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 7x 17x 17 = 8092

Therefore, the value for common factors is 8092.

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 = 254218272/(1x8092)

LCM = 254218272/8092

LCM = 31416

Thus, we can understand that the LCM of 7,748,119,408 is 31416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 7, 748, 119, 408

1. What is the LCM of 7, 748, 119, 408?

Answer: LCM of 7, 748, 119, 408 is 31416.

2. How to calculate the LCM of 7, 748, 119, 408?

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 7, 748, 119, 408.

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}.