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LCM of 103, 135, 488, 350

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


Find the LCM of 103, 135, 488, 350 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 103, 135, 488, 350. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,135,488,350

Given numbers are 103,135,488,350

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

The LCM of 103,135,488,350 is 237497400.

Find LCM of 103,135,488,350 with Prime Factorization


2 103, 135, 488, 350
5 103, 135, 244, 175
103, 27, 244, 35

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

2 x 5 x 103 x 27 x 244 x 35 = 237497400

Therefore, the lowest common multiple of 103,135,488,350 is 237497400.

LCM Formula to Find Lowest Common Multiple of 103,135,488,350

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.

103 x 135 x 488 x 350 = 2374974000

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.

103 : 1, 103

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,135,488,350, is 1.

Now, the common factors can be found like this.

103:103

135:3x 3x 3x 5

488:2x 2x 2x 61

350:2x 5x 5x 7

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 2374974000/(1x10)

LCM = 2374974000/10

LCM = 237497400

Thus, we can understand that the LCM of 103,135,488,350 is 237497400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 135, 488, 350

1. What is the LCM of 103, 135, 488, 350?

Answer: LCM of 103, 135, 488, 350 is 237497400.

2. How to calculate the LCM of 103, 135, 488, 350?

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 103, 135, 488, 350.

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}.