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LCM of 836, 871, 630, 407

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


Find the LCM of 836, 871, 630, 407 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 836, 871, 630, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,871,630,407

Given numbers are 836,871,630,407

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

The LCM of 836,871,630,407 is 8486658180.

Find LCM of 836,871,630,407 with Prime Factorization


2 836, 871, 630, 407
11 418, 871, 315, 407
38, 871, 315, 37

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

2 x 11 x 38 x 871 x 315 x 37 = 8486658180

Therefore, the lowest common multiple of 836,871,630,407 is 8486658180.

LCM Formula to Find Lowest Common Multiple of 836,871,630,407

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.

836 x 871 x 630 x 407 = 186706479960

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

871 : 1, 13, 67, 871

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,871,630,407, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

871:13x 67

630:2x 3x 3x 5x 7

407:11x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 186706479960/(1x22)

LCM = 186706479960/22

LCM = 8486658180

Thus, we can understand that the LCM of 836,871,630,407 is 8486658180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 871, 630, 407

1. What is the LCM of 836, 871, 630, 407?

Answer: LCM of 836, 871, 630, 407 is 8486658180.

2. How to calculate the LCM of 836, 871, 630, 407?

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 836, 871, 630, 407.

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}.