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LCM of 781, 851, 101, 460

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


Find the LCM of 781, 851, 101, 460 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 781, 851, 101, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,851,101,460

Given numbers are 781,851,101,460

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

The LCM of 781,851,101,460 is 1342554620.

Find LCM of 781,851,101,460 with Prime Factorization


23 781, 851, 101, 460
781, 37, 101, 20

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

23 x 781 x 37 x 101 x 20 = 1342554620

Therefore, the lowest common multiple of 781,851,101,460 is 1342554620.

LCM Formula to Find Lowest Common Multiple of 781,851,101,460

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.

781 x 851 x 101 x 460 = 30878756260

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.

781 : 1, 11, 71, 781

851 : 1, 23, 37, 851

101 : 1, 101

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,851,101,460, is 1.

Now, the common factors can be found like this.

781:11x 71

851:23x 37

101:101

460:2x 2x 5x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 30878756260/(1x23)

LCM = 30878756260/23

LCM = 1342554620

Thus, we can understand that the LCM of 781,851,101,460 is 1342554620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 851, 101, 460

1. What is the LCM of 781, 851, 101, 460?

Answer: LCM of 781, 851, 101, 460 is 1342554620.

2. How to calculate the LCM of 781, 851, 101, 460?

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 781, 851, 101, 460.

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}.