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LCM of 748, 119, 248, 629

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


Find the LCM of 748, 119, 248, 629 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, 119, 248, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,119,248,629

Given numbers are 748,119,248,629

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

The LCM of 748,119,248,629 is 12011384.

Find LCM of 748,119,248,629 with Prime Factorization


2 748, 119, 248, 629
2 374, 119, 124, 629
17 187, 119, 62, 629
11, 7, 62, 37

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

2 x 2 x 17 x 11 x 7 x 62 x 37 = 12011384

Therefore, the lowest common multiple of 748,119,248,629 is 12011384.

LCM Formula to Find Lowest Common Multiple of 748,119,248,629

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 119 x 248 x 629 = 13885159904

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

119 : 1, 7, 17, 119

248 : 1, 2, 4, 8, 31, 62, 124, 248

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,119,248,629, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

119:7x 17

248:2x 2x 2x 31

629:17x 37

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 13885159904/(1x1156)

LCM = 13885159904/1156

LCM = 12011384

Thus, we can understand that the LCM of 748,119,248,629 is 12011384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 119, 248, 629

1. What is the LCM of 748, 119, 248, 629?

Answer: LCM of 748, 119, 248, 629 is 12011384.

2. How to calculate the LCM of 748, 119, 248, 629?

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, 119, 248, 629.

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}.