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LCM of 258, 807, 402, 635

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


Find the LCM of 258, 807, 402, 635 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 258, 807, 402, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,807,402,635

Given numbers are 258,807,402,635

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

The LCM of 258,807,402,635 is 2952708090.

Find LCM of 258,807,402,635 with Prime Factorization


2 258, 807, 402, 635
3 129, 807, 201, 635
43, 269, 67, 635

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

2 x 3 x 43 x 269 x 67 x 635 = 2952708090

Therefore, the lowest common multiple of 258,807,402,635 is 2952708090.

LCM Formula to Find Lowest Common Multiple of 258,807,402,635

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.

258 x 807 x 402 x 635 = 53148745620

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.

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

807 : 1, 3, 269, 807

402 : 1, 2, 3, 6, 67, 134, 201, 402

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,807,402,635, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

807:3x 269

402:2x 3x 67

635:5x 127

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 53148745620/(1x18)

LCM = 53148745620/18

LCM = 2952708090

Thus, we can understand that the LCM of 258,807,402,635 is 2952708090.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 807, 402, 635

1. What is the LCM of 258, 807, 402, 635?

Answer: LCM of 258, 807, 402, 635 is 2952708090.

2. How to calculate the LCM of 258, 807, 402, 635?

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 258, 807, 402, 635.

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}.