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LCM of 851, 989, 258, 364

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


Find the LCM of 851, 989, 258, 364 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, 989, 258, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,989,258,364

Given numbers are 851,989,258,364

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

The LCM of 851,989,258,364 is 39959556.

Find LCM of 851,989,258,364 with Prime Factorization


2 851, 989, 258, 364
23 851, 989, 129, 182
43 37, 43, 129, 182
37, 1, 3, 182

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

2 x 23 x 43 x 37 x 1 x 3 x 182 = 39959556

Therefore, the lowest common multiple of 851,989,258,364 is 39959556.

LCM Formula to Find Lowest Common Multiple of 851,989,258,364

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 989 x 258 x 364 = 79040001768

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

989 : 1, 23, 43, 989

258 : 1, 2, 3, 6, 43, 86, 129, 258

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,989,258,364, is 1.

Now, the common factors can be found like this.

851:23x 37

989:23x 43

258:2x 3x 43

364:2x 2x 7x 13

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

2x 23x 43 = 1978

Therefore, the value for common factors is 1978.

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 = 79040001768/(1x1978)

LCM = 79040001768/1978

LCM = 39959556

Thus, we can understand that the LCM of 851,989,258,364 is 39959556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 989, 258, 364

1. What is the LCM of 851, 989, 258, 364?

Answer: LCM of 851, 989, 258, 364 is 39959556.

2. How to calculate the LCM of 851, 989, 258, 364?

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, 989, 258, 364.

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}.