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LCM of 195, 612, 969, 148

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


Find the LCM of 195, 612, 969, 148 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 195, 612, 969, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 195,612,969,148

Given numbers are 195,612,969,148

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

The LCM of 195,612,969,148 is 27965340.

Find LCM of 195,612,969,148 with Prime Factorization


2 195, 612, 969, 148
2 195, 306, 969, 74
3 195, 153, 969, 37
17 65, 51, 323, 37
65, 3, 19, 37

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

2 x 2 x 3 x 17 x 65 x 3 x 19 x 37 = 27965340

Therefore, the lowest common multiple of 195,612,969,148 is 27965340.

LCM Formula to Find Lowest Common Multiple of 195,612,969,148

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.

195 x 612 x 969 x 148 = 17114788080

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

969 : 1, 3, 17, 19, 51, 57, 323, 969

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,612,969,148, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

612:2x 2x 3x 3x 17

969:3x 17x 19

148:2x 2x 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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 17114788080/(1x612)

LCM = 17114788080/612

LCM = 27965340

Thus, we can understand that the LCM of 195,612,969,148 is 27965340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 195, 612, 969, 148

1. What is the LCM of 195, 612, 969, 148?

Answer: LCM of 195, 612, 969, 148 is 27965340.

2. How to calculate the LCM of 195, 612, 969, 148?

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 195, 612, 969, 148.

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}.