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LCM of 851, 259, 335, 268

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


Find the LCM of 851, 259, 335, 268 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, 259, 335, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,259,335,268

Given numbers are 851,259,335,268

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

The LCM of 851,259,335,268 is 7982380.

Find LCM of 851,259,335,268 with Prime Factorization


37 851, 259, 335, 268
67 23, 7, 335, 268
23, 7, 5, 4

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

37 x 67 x 23 x 7 x 5 x 4 = 7982380

Therefore, the lowest common multiple of 851,259,335,268 is 7982380.

LCM Formula to Find Lowest Common Multiple of 851,259,335,268

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 259 x 335 x 268 = 19788320020

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

259 : 1, 7, 37, 259

335 : 1, 5, 67, 335

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,259,335,268, is 1.

Now, the common factors can be found like this.

851:23x 37

259:7x 37

335:5x 67

268:2x 2x 67

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

37x 67 = 2479

Therefore, the value for common factors is 2479.

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 = 19788320020/(1x2479)

LCM = 19788320020/2479

LCM = 7982380

Thus, we can understand that the LCM of 851,259,335,268 is 7982380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 259, 335, 268

1. What is the LCM of 851, 259, 335, 268?

Answer: LCM of 851, 259, 335, 268 is 7982380.

2. How to calculate the LCM of 851, 259, 335, 268?

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, 259, 335, 268.

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}.