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LCM of 171, 148, 112, 434

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


Find the LCM of 171, 148, 112, 434 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 171, 148, 112, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 171,148,112,434

Given numbers are 171,148,112,434

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

The LCM of 171,148,112,434 is 21967344.

Find LCM of 171,148,112,434 with Prime Factorization


2 171, 148, 112, 434
2 171, 74, 56, 217
7 171, 37, 28, 217
171, 37, 4, 31

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

2 x 2 x 7 x 171 x 37 x 4 x 31 = 21967344

Therefore, the lowest common multiple of 171,148,112,434 is 21967344.

LCM Formula to Find Lowest Common Multiple of 171,148,112,434

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.

171 x 148 x 112 x 434 = 1230171264

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.

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

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,148,112,434, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

148:2x 2x 37

112:2x 2x 2x 2x 7

434:2x 7x 31

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 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 1230171264/(1x56)

LCM = 1230171264/56

LCM = 21967344

Thus, we can understand that the LCM of 171,148,112,434 is 21967344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 171, 148, 112, 434

1. What is the LCM of 171, 148, 112, 434?

Answer: LCM of 171, 148, 112, 434 is 21967344.

2. How to calculate the LCM of 171, 148, 112, 434?

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 171, 148, 112, 434.

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}.