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LCM of 895, 851, 871, 533, 351

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


Find the LCM of 895, 851, 871, 533, 351 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 895, 851, 871, 533, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,851,871,533,351

Given numbers are 895,851,871,533,351

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

The LCM of 895,851,871,533,351 is 734375824065.

Find LCM of 895,851,871,533,351 with Prime Factorization


13 895, 851, 871, 533, 351
895, 851, 67, 41, 27

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

13 x 895 x 851 x 67 x 41 x 27 = 734375824065

Therefore, the lowest common multiple of 895,851,871,533,351 is 734375824065.

LCM Formula to Find Lowest Common Multiple of 895,851,871,533,351

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.

895 x 851 x 871 x 533 x 351 = 124109514266985

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.

895 : 1, 5, 179, 895

851 : 1, 23, 37, 851

871 : 1, 13, 67, 871

533 : 1, 13, 41, 533

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,851,871,533,351, is 1.

Now, the common factors can be found like this.

895:5x 179

851:23x 37

871:13x 67

533:13x 41

351:3x 3x 3x 13

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 = 124109514266985/(1x169)

LCM = 124109514266985/169

LCM = 734375824065

Thus, we can understand that the LCM of 895,851,871,533,351 is 734375824065.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 851, 871, 533, 351

1. What is the LCM of 895, 851, 871, 533, 351?

Answer: LCM of 895, 851, 871, 533, 351 is 734375824065.

2. How to calculate the LCM of 895, 851, 871, 533, 351?

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 895, 851, 871, 533, 351.

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}.