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LCM of 148, 285, 748, 171

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


Find the LCM of 148, 285, 748, 171 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 148, 285, 748, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,285,748,171

Given numbers are 148,285,748,171

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

The LCM of 148,285,748,171 is 23662980.

Find LCM of 148,285,748,171 with Prime Factorization


2 148, 285, 748, 171
2 74, 285, 374, 171
3 37, 285, 187, 171
19 37, 95, 187, 57
37, 5, 187, 3

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

2 x 2 x 3 x 19 x 37 x 5 x 187 x 3 = 23662980

Therefore, the lowest common multiple of 148,285,748,171 is 23662980.

LCM Formula to Find Lowest Common Multiple of 148,285,748,171

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.

148 x 285 x 748 x 171 = 5395159440

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.

148 : 1, 2, 4, 37, 74, 148

285 : 1, 3, 5, 15, 19, 57, 95, 285

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

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,285,748,171, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

285:3x 5x 19

748:2x 2x 11x 17

171:3x 3x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 5395159440/(1x228)

LCM = 5395159440/228

LCM = 23662980

Thus, we can understand that the LCM of 148,285,748,171 is 23662980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 285, 748, 171

1. What is the LCM of 148, 285, 748, 171?

Answer: LCM of 148, 285, 748, 171 is 23662980.

2. How to calculate the LCM of 148, 285, 748, 171?

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 148, 285, 748, 171.

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}.