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LCM of 902, 529, 165, 253

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


Find the LCM of 902, 529, 165, 253 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 902, 529, 165, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,529,165,253

Given numbers are 902,529,165,253

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

The LCM of 902,529,165,253 is 7157370.

Find LCM of 902,529,165,253 with Prime Factorization


11 902, 529, 165, 253
23 82, 529, 15, 23
82, 1, 15, 23

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

11 x 23 x 82 x 1 x 15 x 23 = 7157370

Therefore, the lowest common multiple of 902,529,165,253 is 7157370.

LCM Formula to Find Lowest Common Multiple of 902,529,165,253

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.

902 x 529 x 165 x 253 = 19918960710

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

529 : 1, 23, 529

165 : 1, 3, 5, 11, 15, 33, 55, 165

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,529,165,253, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

529:23x 23

165:3x 5x 11

253:11x 23

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

11x 11x 23 = 2783

Therefore, the value for common factors is 2783.

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 = 19918960710/(1x2783)

LCM = 19918960710/2783

LCM = 7157370

Thus, we can understand that the LCM of 902,529,165,253 is 7157370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 529, 165, 253

1. What is the LCM of 902, 529, 165, 253?

Answer: LCM of 902, 529, 165, 253 is 7157370.

2. How to calculate the LCM of 902, 529, 165, 253?

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 902, 529, 165, 253.

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}.