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LCM of 312, 887, 247, 871, 527

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


Find the LCM of 312, 887, 247, 871, 527 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 312, 887, 247, 871, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,887,247,871,527

Given numbers are 312,887,247,871,527

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

The LCM of 312,887,247,871,527 is 185659524024.

Find LCM of 312,887,247,871,527 with Prime Factorization


13 312, 887, 247, 871, 527
24, 887, 19, 67, 527

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

13 x 24 x 887 x 19 x 67 x 527 = 185659524024

Therefore, the lowest common multiple of 312,887,247,871,527 is 185659524024.

LCM Formula to Find Lowest Common Multiple of 312,887,247,871,527

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.

312 x 887 x 247 x 871 x 527 = 31376459560056

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

887 : 1, 887

247 : 1, 13, 19, 247

871 : 1, 13, 67, 871

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,887,247,871,527, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

887:887

247:13x 19

871:13x 67

527:17x 31

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 31376459560056/(1x169)

LCM = 31376459560056/169

LCM = 185659524024

Thus, we can understand that the LCM of 312,887,247,871,527 is 185659524024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 887, 247, 871, 527

1. What is the LCM of 312, 887, 247, 871, 527?

Answer: LCM of 312, 887, 247, 871, 527 is 185659524024.

2. How to calculate the LCM of 312, 887, 247, 871, 527?

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 312, 887, 247, 871, 527.

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}.