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LCM of 748, 991, 102, 483

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


Find the LCM of 748, 991, 102, 483 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, 991, 102, 483. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,991,102,483

Given numbers are 748,991,102,483

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

The LCM of 748,991,102,483 is 358032444.

Find LCM of 748,991,102,483 with Prime Factorization


2 748, 991, 102, 483
3 374, 991, 51, 483
17 374, 991, 17, 161
22, 991, 1, 161

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

2 x 3 x 17 x 22 x 991 x 1 x 161 = 358032444

Therefore, the lowest common multiple of 748,991,102,483 is 358032444.

LCM Formula to Find Lowest Common Multiple of 748,991,102,483

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 991 x 102 x 483 = 36519309288

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

991 : 1, 991

102 : 1, 2, 3, 6, 17, 34, 51, 102

483 : 1, 3, 7, 21, 23, 69, 161, 483

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,991,102,483, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

991:991

102:2x 3x 17

483:3x 7x 23

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 17 = 102

Therefore, the value for common factors is 102.

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 = 36519309288/(1x102)

LCM = 36519309288/102

LCM = 358032444

Thus, we can understand that the LCM of 748,991,102,483 is 358032444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 991, 102, 483

1. What is the LCM of 748, 991, 102, 483?

Answer: LCM of 748, 991, 102, 483 is 358032444.

2. How to calculate the LCM of 748, 991, 102, 483?

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, 991, 102, 483.

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}.