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LCM of 871, 807, 641, 335, 434

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


Find the LCM of 871, 807, 641, 335, 434 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 871, 807, 641, 335, 434. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,807,641,335,434

Given numbers are 871,807,641,335,434

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

The LCM of 871,807,641,335,434 is 977708640090.

Find LCM of 871,807,641,335,434 with Prime Factorization


67 871, 807, 641, 335, 434
13, 807, 641, 5, 434

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

67 x 13 x 807 x 641 x 5 x 434 = 977708640090

Therefore, the lowest common multiple of 871,807,641,335,434 is 977708640090.

LCM Formula to Find Lowest Common Multiple of 871,807,641,335,434

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.

871 x 807 x 641 x 335 x 434 = 65506478886030

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.

871 : 1, 13, 67, 871

807 : 1, 3, 269, 807

641 : 1, 641

335 : 1, 5, 67, 335

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,807,641,335,434, is 1.

Now, the common factors can be found like this.

871:13x 67

807:3x 269

641:641

335:5x 67

434:2x 7x 31

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

67 = 67

Therefore, the value for common factors is 67.

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 = 65506478886030/(1x67)

LCM = 65506478886030/67

LCM = 977708640090

Thus, we can understand that the LCM of 871,807,641,335,434 is 977708640090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 807, 641, 335, 434

1. What is the LCM of 871, 807, 641, 335, 434?

Answer: LCM of 871, 807, 641, 335, 434 is 977708640090.

2. How to calculate the LCM of 871, 807, 641, 335, 434?

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 871, 807, 641, 335, 434.

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}.