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LCM of 917, 867, 871, 402

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


Find the LCM of 917, 867, 871, 402 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 917, 867, 871, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,867,871,402

Given numbers are 917,867,871,402

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

The LCM of 917,867,871,402 is 1384957938.

Find LCM of 917,867,871,402 with Prime Factorization


3 917, 867, 871, 402
67 917, 289, 871, 134
917, 289, 13, 2

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

3 x 67 x 917 x 289 x 13 x 2 = 1384957938

Therefore, the lowest common multiple of 917,867,871,402 is 1384957938.

LCM Formula to Find Lowest Common Multiple of 917,867,871,402

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.

917 x 867 x 871 x 402 = 278376545538

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.

917 : 1, 7, 131, 917

867 : 1, 3, 17, 51, 289, 867

871 : 1, 13, 67, 871

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,867,871,402, is 1.

Now, the common factors can be found like this.

917:7x 131

867:3x 17x 17

871:13x 67

402:2x 3x 67

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

3x 67 = 201

Therefore, the value for common factors is 201.

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 = 278376545538/(1x201)

LCM = 278376545538/201

LCM = 1384957938

Thus, we can understand that the LCM of 917,867,871,402 is 1384957938.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 867, 871, 402

1. What is the LCM of 917, 867, 871, 402?

Answer: LCM of 917, 867, 871, 402 is 1384957938.

2. How to calculate the LCM of 917, 867, 871, 402?

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 917, 867, 871, 402.

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}.