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LCM of 609, 871, 936, 262

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


Find the LCM of 609, 871, 936, 262 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 609, 871, 936, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,871,936,262

Given numbers are 609,871,936,262

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

The LCM of 609,871,936,262 is 1667700216.

Find LCM of 609,871,936,262 with Prime Factorization


2 609, 871, 936, 262
3 609, 871, 468, 131
13 203, 871, 156, 131
203, 67, 12, 131

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

2 x 3 x 13 x 203 x 67 x 12 x 131 = 1667700216

Therefore, the lowest common multiple of 609,871,936,262 is 1667700216.

LCM Formula to Find Lowest Common Multiple of 609,871,936,262

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.

609 x 871 x 936 x 262 = 130080616848

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

871 : 1, 13, 67, 871

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,871,936,262, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

871:13x 67

936:2x 2x 2x 3x 3x 13

262:2x 131

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 130080616848/(1x78)

LCM = 130080616848/78

LCM = 1667700216

Thus, we can understand that the LCM of 609,871,936,262 is 1667700216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 871, 936, 262

1. What is the LCM of 609, 871, 936, 262?

Answer: LCM of 609, 871, 936, 262 is 1667700216.

2. How to calculate the LCM of 609, 871, 936, 262?

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 609, 871, 936, 262.

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}.