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LCM of 940, 871, 134, 345

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


Find the LCM of 940, 871, 134, 345 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 940, 871, 134, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,871,134,345

Given numbers are 940,871,134,345

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

The LCM of 940,871,134,345 is 56493060.

Find LCM of 940,871,134,345 with Prime Factorization


2 940, 871, 134, 345
5 470, 871, 67, 345
67 94, 871, 67, 69
94, 13, 1, 69

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

2 x 5 x 67 x 94 x 13 x 1 x 69 = 56493060

Therefore, the lowest common multiple of 940,871,134,345 is 56493060.

LCM Formula to Find Lowest Common Multiple of 940,871,134,345

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.

940 x 871 x 134 x 345 = 37850350200

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

871 : 1, 13, 67, 871

134 : 1, 2, 67, 134

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,871,134,345, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

871:13x 67

134:2x 67

345:3x 5x 23

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

2x 5x 67 = 670

Therefore, the value for common factors is 670.

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 = 37850350200/(1x670)

LCM = 37850350200/670

LCM = 56493060

Thus, we can understand that the LCM of 940,871,134,345 is 56493060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 871, 134, 345

1. What is the LCM of 940, 871, 134, 345?

Answer: LCM of 940, 871, 134, 345 is 56493060.

2. How to calculate the LCM of 940, 871, 134, 345?

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 940, 871, 134, 345.

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}.