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LCM of 851, 286, 322, 781

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


Find the LCM of 851, 286, 322, 781 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 851, 286, 322, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,286,322,781

Given numbers are 851,286,322,781

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

The LCM of 851,286,322,781 is 120962842.

Find LCM of 851,286,322,781 with Prime Factorization


2 851, 286, 322, 781
11 851, 143, 161, 781
23 851, 13, 161, 71
37, 13, 7, 71

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

2 x 11 x 23 x 37 x 13 x 7 x 71 = 120962842

Therefore, the lowest common multiple of 851,286,322,781 is 120962842.

LCM Formula to Find Lowest Common Multiple of 851,286,322,781

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.

851 x 286 x 322 x 781 = 61207198052

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.

851 : 1, 23, 37, 851

286 : 1, 2, 11, 13, 22, 26, 143, 286

322 : 1, 2, 7, 14, 23, 46, 161, 322

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,286,322,781, is 1.

Now, the common factors can be found like this.

851:23x 37

286:2x 11x 13

322:2x 7x 23

781:11x 71

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

2x 11x 23 = 506

Therefore, the value for common factors is 506.

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 = 61207198052/(1x506)

LCM = 61207198052/506

LCM = 120962842

Thus, we can understand that the LCM of 851,286,322,781 is 120962842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 286, 322, 781

1. What is the LCM of 851, 286, 322, 781?

Answer: LCM of 851, 286, 322, 781 is 120962842.

2. How to calculate the LCM of 851, 286, 322, 781?

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 851, 286, 322, 781.

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}.