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LCM of 147, 396, 871, 596

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


Find the LCM of 147, 396, 871, 596 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 147, 396, 871, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,396,871,596

Given numbers are 147,396,871,596

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

The LCM of 147,396,871,596 is 2518231716.

Find LCM of 147,396,871,596 with Prime Factorization


2 147, 396, 871, 596
2 147, 198, 871, 298
3 147, 99, 871, 149
49, 33, 871, 149

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

2 x 2 x 3 x 49 x 33 x 871 x 149 = 2518231716

Therefore, the lowest common multiple of 147,396,871,596 is 2518231716.

LCM Formula to Find Lowest Common Multiple of 147,396,871,596

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.

147 x 396 x 871 x 596 = 30218780592

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.

147 : 1, 3, 7, 21, 49, 147

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

871 : 1, 13, 67, 871

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,396,871,596, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

396:2x 2x 3x 3x 11

871:13x 67

596:2x 2x 149

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 3 = 12

Therefore, the value for common factors is 12.

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 = 30218780592/(1x12)

LCM = 30218780592/12

LCM = 2518231716

Thus, we can understand that the LCM of 147,396,871,596 is 2518231716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 396, 871, 596

1. What is the LCM of 147, 396, 871, 596?

Answer: LCM of 147, 396, 871, 596 is 2518231716.

2. How to calculate the LCM of 147, 396, 871, 596?

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 147, 396, 871, 596.

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}.